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Finding the Fourth Proportional to 16,572.12, 24,846.03 and 7,802.25

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Solution

The fourth proportional to 16,572.12, 24,846.03 and 7,802.25 is: 11,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572.12 : 24,846.03 = 7,802.25 : x
  2. Step 2: Convert to fraction form
    16,572.12/24,846.03 = 7,802.25/x
  3. Step 3: Cross multiply
    16,572.12x = 24,846.03 × 7,802.25
  4. Step 4: Simplify right side
    16,572.12x = 193,854,937.57
  5. Step 5: Solve for x
    x = 193,854,937.57/16,572.12
  6. Step 6: Final answer
    x = 11,697.65

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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.