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Finding the Fourth Proportional to 16,458.57, 22,712.40 and 9,384.84

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Solution

The fourth proportional to 16,458.57, 22,712.40 and 9,384.84 is: 12,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.57 : 22,712.40 = 9,384.84 : x
  2. Step 2: Convert to fraction form
    16,458.57/22,712.40 = 9,384.84/x
  3. Step 3: Cross multiply
    16,458.57x = 22,712.40 × 9,384.84
  4. Step 4: Simplify right side
    16,458.57x = 213,152,240.02
  5. Step 5: Solve for x
    x = 213,152,240.02/16,458.57
  6. Step 6: Final answer
    x = 12,950.84

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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.