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Finding the Fourth Proportional to 23,700.74, 32,702.74 and 15,312.38

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Solution

The fourth proportional to 23,700.74, 32,702.74 and 15,312.38 is: 21,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.74 : 32,702.74 = 15,312.38 : x
  2. Step 2: Convert to fraction form
    23,700.74/32,702.74 = 15,312.38/x
  3. Step 3: Cross multiply
    23,700.74x = 32,702.74 × 15,312.38
  4. Step 4: Simplify right side
    23,700.74x = 500,756,580.13
  5. Step 5: Solve for x
    x = 500,756,580.13/23,700.74
  6. Step 6: Final answer
    x = 21,128.31

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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.