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Finding the Fourth Proportional to 16,458.42, 22,712.64 and 9,384.90

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Solution

The fourth proportional to 16,458.42, 22,712.64 and 9,384.90 is: 12,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.42 : 22,712.64 = 9,384.90 : x
  2. Step 2: Convert to fraction form
    16,458.42/22,712.64 = 9,384.90/x
  3. Step 3: Cross multiply
    16,458.42x = 22,712.64 × 9,384.90
  4. Step 4: Simplify right side
    16,458.42x = 213,155,855.14
  5. Step 5: Solve for x
    x = 213,155,855.14/16,458.42
  6. Step 6: Final answer
    x = 12,951.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.