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Finding the Fourth Proportional to 25,058.54, 37,565.43 and 9,487.10

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Solution

The fourth proportional to 25,058.54, 37,565.43 and 9,487.10 is: 14,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058.54 : 37,565.43 = 9,487.10 : x
  2. Step 2: Convert to fraction form
    25,058.54/37,565.43 = 9,487.10/x
  3. Step 3: Cross multiply
    25,058.54x = 37,565.43 × 9,487.10
  4. Step 4: Simplify right side
    25,058.54x = 356,386,990.95
  5. Step 5: Solve for x
    x = 356,386,990.95/25,058.54
  6. Step 6: Final answer
    x = 14,222.18

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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.