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Finding the Fourth Proportional to 10,731.60, 16,177.86 and 10,017.99

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Solution

The fourth proportional to 10,731.60, 16,177.86 and 10,017.99 is: 15,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.60 : 16,177.86 = 10,017.99 : x
  2. Step 2: Convert to fraction form
    10,731.60/16,177.86 = 10,017.99/x
  3. Step 3: Cross multiply
    10,731.60x = 16,177.86 × 10,017.99
  4. Step 4: Simplify right side
    10,731.60x = 162,069,639.70
  5. Step 5: Solve for x
    x = 162,069,639.70/10,731.60
  6. Step 6: Final answer
    x = 15,102.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.