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Finding the Fourth Proportional to 24,477.80, 36,718.10 and 6,946.26

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Solution

The fourth proportional to 24,477.80, 36,718.10 and 6,946.26 is: 10,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.80 : 36,718.10 = 6,946.26 : x
  2. Step 2: Convert to fraction form
    24,477.80/36,718.10 = 6,946.26/x
  3. Step 3: Cross multiply
    24,477.80x = 36,718.10 × 6,946.26
  4. Step 4: Simplify right side
    24,477.80x = 255,053,469.31
  5. Step 5: Solve for x
    x = 255,053,469.31/24,477.80
  6. Step 6: Final answer
    x = 10,419.79

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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.