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Finding the Fourth Proportional to 17,301.81, 23,877.78 and 9,748.98

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Solution

The fourth proportional to 17,301.81, 23,877.78 and 9,748.98 is: 13,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.81 : 23,877.78 = 9,748.98 : x
  2. Step 2: Convert to fraction form
    17,301.81/23,877.78 = 9,748.98/x
  3. Step 3: Cross multiply
    17,301.81x = 23,877.78 × 9,748.98
  4. Step 4: Simplify right side
    17,301.81x = 232,783,999.66
  5. Step 5: Solve for x
    x = 232,783,999.66/17,301.81
  6. Step 6: Final answer
    x = 13,454.31

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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.