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Finding the Fourth Proportional to 16,501.86, 24,753.06 and 4,815

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Solution

The fourth proportional to 16,501.86, 24,753.06 and 4,815 is: 7,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.86 : 24,753.06 = 4,815 : x
  2. Step 2: Convert to fraction form
    16,501.86/24,753.06 = 4,815/x
  3. Step 3: Cross multiply
    16,501.86x = 24,753.06 × 4,815
  4. Step 4: Simplify right side
    16,501.86x = 119,185,983.90
  5. Step 5: Solve for x
    x = 119,185,983.90/16,501.86
  6. Step 6: Final answer
    x = 7,222.58

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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.