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Finding the Fourth Proportional to 25,701.30, 38,545.02 and 9,059.16

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Solution

The fourth proportional to 25,701.30, 38,545.02 and 9,059.16 is: 13,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.30 : 38,545.02 = 9,059.16 : x
  2. Step 2: Convert to fraction form
    25,701.30/38,545.02 = 9,059.16/x
  3. Step 3: Cross multiply
    25,701.30x = 38,545.02 × 9,059.16
  4. Step 4: Simplify right side
    25,701.30x = 349,185,503.38
  5. Step 5: Solve for x
    x = 349,185,503.38/25,701.30
  6. Step 6: Final answer
    x = 13,586.30

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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.