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Finding the Fourth Proportional to 23,777.17, 32,813.01 and 13,022.50

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Solution

The fourth proportional to 23,777.17, 32,813.01 and 13,022.50 is: 17,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.17 : 32,813.01 = 13,022.50 : x
  2. Step 2: Convert to fraction form
    23,777.17/32,813.01 = 13,022.50/x
  3. Step 3: Cross multiply
    23,777.17x = 32,813.01 × 13,022.50
  4. Step 4: Simplify right side
    23,777.17x = 427,307,422.73
  5. Step 5: Solve for x
    x = 427,307,422.73/23,777.17
  6. Step 6: Final answer
    x = 17,971.33

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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.