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Finding the Fourth Proportional to 24,477.39, 36,715.17 and 6,947.07

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Solution

The fourth proportional to 24,477.39, 36,715.17 and 6,947.07 is: 10,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.39 : 36,715.17 = 6,947.07 : x
  2. Step 2: Convert to fraction form
    24,477.39/36,715.17 = 6,947.07/x
  3. Step 3: Cross multiply
    24,477.39x = 36,715.17 × 6,947.07
  4. Step 4: Simplify right side
    24,477.39x = 255,062,744.42
  5. Step 5: Solve for x
    x = 255,062,744.42/24,477.39
  6. Step 6: Final answer
    x = 10,420.34

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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.