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Finding the Fourth Proportional to 24,803.48, 37,197.98 and 7,269.16

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Solution

The fourth proportional to 24,803.48, 37,197.98 and 7,269.16 is: 10,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.48 : 37,197.98 = 7,269.16 : x
  2. Step 2: Convert to fraction form
    24,803.48/37,197.98 = 7,269.16/x
  3. Step 3: Cross multiply
    24,803.48x = 37,197.98 × 7,269.16
  4. Step 4: Simplify right side
    24,803.48x = 270,398,068.30
  5. Step 5: Solve for x
    x = 270,398,068.30/24,803.48
  6. Step 6: Final answer
    x = 10,901.62

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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.