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Finding the Fourth Proportional to 16,547.34, 24,789.72 and 12,831.36

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Solution

The fourth proportional to 16,547.34, 24,789.72 and 12,831.36 is: 19,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.34 : 24,789.72 = 12,831.36 : x
  2. Step 2: Convert to fraction form
    16,547.34/24,789.72 = 12,831.36/x
  3. Step 3: Cross multiply
    16,547.34x = 24,789.72 × 12,831.36
  4. Step 4: Simplify right side
    16,547.34x = 318,085,821.62
  5. Step 5: Solve for x
    x = 318,085,821.62/16,547.34
  6. Step 6: Final answer
    x = 19,222.78

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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.