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Finding the Fourth Proportional to 15,803.42, 23,697.19 and 5,269.71

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Solution

The fourth proportional to 15,803.42, 23,697.19 and 5,269.71 is: 7,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.42 : 23,697.19 = 5,269.71 : x
  2. Step 2: Convert to fraction form
    15,803.42/23,697.19 = 5,269.71/x
  3. Step 3: Cross multiply
    15,803.42x = 23,697.19 × 5,269.71
  4. Step 4: Simplify right side
    15,803.42x = 124,877,233.52
  5. Step 5: Solve for x
    x = 124,877,233.52/15,803.42
  6. Step 6: Final answer
    x = 7,901.91

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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.