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Finding the Fourth Proportional to 15,686.17, 21,657.05 and 9,724.21

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Solution

The fourth proportional to 15,686.17, 21,657.05 and 9,724.21 is: 13,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.17 : 21,657.05 = 9,724.21 : x
  2. Step 2: Convert to fraction form
    15,686.17/21,657.05 = 9,724.21/x
  3. Step 3: Cross multiply
    15,686.17x = 21,657.05 × 9,724.21
  4. Step 4: Simplify right side
    15,686.17x = 210,597,653.56
  5. Step 5: Solve for x
    x = 210,597,653.56/15,686.17
  6. Step 6: Final answer
    x = 13,425.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.