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Finding the Fourth Proportional to 24,574.53, 36,864.20 and 9,780

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Solution

The fourth proportional to 24,574.53, 36,864.20 and 9,780 is: 14,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.53 : 36,864.20 = 9,780 : x
  2. Step 2: Convert to fraction form
    24,574.53/36,864.20 = 9,780/x
  3. Step 3: Cross multiply
    24,574.53x = 36,864.20 × 9,780
  4. Step 4: Simplify right side
    24,574.53x = 360,531,876
  5. Step 5: Solve for x
    x = 360,531,876/24,574.53
  6. Step 6: Final answer
    x = 14,670.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.