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Finding the Fourth Proportional to 19,688.28, 29,511.52 and 9,678.90

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Solution

The fourth proportional to 19,688.28, 29,511.52 and 9,678.90 is: 14,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.28 : 29,511.52 = 9,678.90 : x
  2. Step 2: Convert to fraction form
    19,688.28/29,511.52 = 9,678.90/x
  3. Step 3: Cross multiply
    19,688.28x = 29,511.52 × 9,678.90
  4. Step 4: Simplify right side
    19,688.28x = 285,639,050.93
  5. Step 5: Solve for x
    x = 285,639,050.93/19,688.28
  6. Step 6: Final answer
    x = 14,508.08

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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.