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Finding the Fourth Proportional to 24,421.29, 36,631.54 and 7,781.10

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Solution

The fourth proportional to 24,421.29, 36,631.54 and 7,781.10 is: 11,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.29 : 36,631.54 = 7,781.10 : x
  2. Step 2: Convert to fraction form
    24,421.29/36,631.54 = 7,781.10/x
  3. Step 3: Cross multiply
    24,421.29x = 36,631.54 × 7,781.10
  4. Step 4: Simplify right side
    24,421.29x = 285,033,620.38
  5. Step 5: Solve for x
    x = 285,033,620.38/24,421.29
  6. Step 6: Final answer
    x = 11,671.52

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1.5x scale

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.