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Finding the Fourth Proportional to 25,864.88, 38,808.84 and 13,550

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Solution

The fourth proportional to 25,864.88, 38,808.84 and 13,550 is: 20,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.88 : 38,808.84 = 13,550 : x
  2. Step 2: Convert to fraction form
    25,864.88/38,808.84 = 13,550/x
  3. Step 3: Cross multiply
    25,864.88x = 38,808.84 × 13,550
  4. Step 4: Simplify right side
    25,864.88x = 525,859,782.00
  5. Step 5: Solve for x
    x = 525,859,782.00/25,864.88
  6. Step 6: Final answer
    x = 20,331.04

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