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Finding the Fourth Proportional to 15,838.32, 21,859.18 and 9,871.86

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Solution

The fourth proportional to 15,838.32, 21,859.18 and 9,871.86 is: 13,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.32 : 21,859.18 = 9,871.86 : x
  2. Step 2: Convert to fraction form
    15,838.32/21,859.18 = 9,871.86/x
  3. Step 3: Cross multiply
    15,838.32x = 21,859.18 × 9,871.86
  4. Step 4: Simplify right side
    15,838.32x = 215,790,764.67
  5. Step 5: Solve for x
    x = 215,790,764.67/15,838.32
  6. Step 6: Final answer
    x = 13,624.60

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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.