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Finding the Fourth Proportional to 15,711.48, 23,554.26 and 6,471

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Solution

The fourth proportional to 15,711.48, 23,554.26 and 6,471 is: 9,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.48 : 23,554.26 = 6,471 : x
  2. Step 2: Convert to fraction form
    15,711.48/23,554.26 = 6,471/x
  3. Step 3: Cross multiply
    15,711.48x = 23,554.26 × 6,471
  4. Step 4: Simplify right side
    15,711.48x = 152,419,616.46
  5. Step 5: Solve for x
    x = 152,419,616.46/15,711.48
  6. Step 6: Final answer
    x = 9,701.16

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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.