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Finding the Fourth Proportional to 15,871.64, 23,818.39 and 7,116.35

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Solution

The fourth proportional to 15,871.64, 23,818.39 and 7,116.35 is: 10,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.64 : 23,818.39 = 7,116.35 : x
  2. Step 2: Convert to fraction form
    15,871.64/23,818.39 = 7,116.35/x
  3. Step 3: Cross multiply
    15,871.64x = 23,818.39 × 7,116.35
  4. Step 4: Simplify right side
    15,871.64x = 169,499,862.79
  5. Step 5: Solve for x
    x = 169,499,862.79/15,871.64
  6. Step 6: Final answer
    x = 10,679.42

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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.