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Finding the Fourth Proportional to 23,755.38, 32,785.90 and 13,681.88

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Solution

The fourth proportional to 23,755.38, 32,785.90 and 13,681.88 is: 18,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.38 : 32,785.90 = 13,681.88 : x
  2. Step 2: Convert to fraction form
    23,755.38/32,785.90 = 13,681.88/x
  3. Step 3: Cross multiply
    23,755.38x = 32,785.90 × 13,681.88
  4. Step 4: Simplify right side
    23,755.38x = 448,572,674.30
  5. Step 5: Solve for x
    x = 448,572,674.30/23,755.38
  6. Step 6: Final answer
    x = 18,883.00

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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.