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Finding the Fourth Proportional to 16,339.83, 24,506.78 and 4,332.06

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Solution

The fourth proportional to 16,339.83, 24,506.78 and 4,332.06 is: 6,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.83 : 24,506.78 = 4,332.06 : x
  2. Step 2: Convert to fraction form
    16,339.83/24,506.78 = 4,332.06/x
  3. Step 3: Cross multiply
    16,339.83x = 24,506.78 × 4,332.06
  4. Step 4: Simplify right side
    16,339.83x = 106,164,819.71
  5. Step 5: Solve for x
    x = 106,164,819.71/16,339.83
  6. Step 6: Final answer
    x = 6,497.30

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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.