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Finding the Fourth Proportional to 22,453.59, 30,985.70 and 13,023.03

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Solution

The fourth proportional to 22,453.59, 30,985.70 and 13,023.03 is: 17,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.59 : 30,985.70 = 13,023.03 : x
  2. Step 2: Convert to fraction form
    22,453.59/30,985.70 = 13,023.03/x
  3. Step 3: Cross multiply
    22,453.59x = 30,985.70 × 13,023.03
  4. Step 4: Simplify right side
    22,453.59x = 403,527,635.56
  5. Step 5: Solve for x
    x = 403,527,635.56/22,453.59
  6. Step 6: Final answer
    x = 17,971.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.