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Finding the Fourth Proportional to 25,132.71, 37,702.71 and 7,604.04

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Solution

The fourth proportional to 25,132.71, 37,702.71 and 7,604.04 is: 11,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.71 : 37,702.71 = 7,604.04 : x
  2. Step 2: Convert to fraction form
    25,132.71/37,702.71 = 7,604.04/x
  3. Step 3: Cross multiply
    25,132.71x = 37,702.71 × 7,604.04
  4. Step 4: Simplify right side
    25,132.71x = 286,692,914.95
  5. Step 5: Solve for x
    x = 286,692,914.95/25,132.71
  6. Step 6: Final answer
    x = 11,407.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.