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Finding the Fourth Proportional to 10,689.90, 16,056.45 and 10,322.70

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Solution

The fourth proportional to 10,689.90, 16,056.45 and 10,322.70 is: 15,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.90 : 16,056.45 = 10,322.70 : x
  2. Step 2: Convert to fraction form
    10,689.90/16,056.45 = 10,322.70/x
  3. Step 3: Cross multiply
    10,689.90x = 16,056.45 × 10,322.70
  4. Step 4: Simplify right side
    10,689.90x = 165,745,916.42
  5. Step 5: Solve for x
    x = 165,745,916.42/10,689.90
  6. Step 6: Final answer
    x = 15,504.91

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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.