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Finding the Fourth Proportional to 16,005.51, 24,007.95 and 7,234.29

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Solution

The fourth proportional to 16,005.51, 24,007.95 and 7,234.29 is: 10,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.51 : 24,007.95 = 7,234.29 : x
  2. Step 2: Convert to fraction form
    16,005.51/24,007.95 = 7,234.29/x
  3. Step 3: Cross multiply
    16,005.51x = 24,007.95 × 7,234.29
  4. Step 4: Simplify right side
    16,005.51x = 173,680,472.61
  5. Step 5: Solve for x
    x = 173,680,472.61/16,005.51
  6. Step 6: Final answer
    x = 10,851.29

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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.