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Finding the Fourth Proportional to 16,341.59, 24,511.89 and 9,723.47

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Solution

The fourth proportional to 16,341.59, 24,511.89 and 9,723.47 is: 14,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.59 : 24,511.89 = 9,723.47 : x
  2. Step 2: Convert to fraction form
    16,341.59/24,511.89 = 9,723.47/x
  3. Step 3: Cross multiply
    16,341.59x = 24,511.89 × 9,723.47
  4. Step 4: Simplify right side
    16,341.59x = 238,340,627.06
  5. Step 5: Solve for x
    x = 238,340,627.06/16,341.59
  6. Step 6: Final answer
    x = 14,584.91

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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.