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Finding the Fourth Proportional to 16,547.92, 24,814.35 and 9,887.36

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Solution

The fourth proportional to 16,547.92, 24,814.35 and 9,887.36 is: 14,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.92 : 24,814.35 = 9,887.36 : x
  2. Step 2: Convert to fraction form
    16,547.92/24,814.35 = 9,887.36/x
  3. Step 3: Cross multiply
    16,547.92x = 24,814.35 × 9,887.36
  4. Step 4: Simplify right side
    16,547.92x = 245,348,287.54
  5. Step 5: Solve for x
    x = 245,348,287.54/16,547.92
  6. Step 6: Final answer
    x = 14,826.54

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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.