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Finding the Fourth Proportional to 16,292.80, 24,442.24 and 7,521.92

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Solution

The fourth proportional to 16,292.80, 24,442.24 and 7,521.92 is: 11,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.80 : 24,442.24 = 7,521.92 : x
  2. Step 2: Convert to fraction form
    16,292.80/24,442.24 = 7,521.92/x
  3. Step 3: Cross multiply
    16,292.80x = 24,442.24 × 7,521.92
  4. Step 4: Simplify right side
    16,292.80x = 183,852,573.90
  5. Step 5: Solve for x
    x = 183,852,573.90/16,292.80
  6. Step 6: Final answer
    x = 11,284.28

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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.