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Finding the Fourth Proportional to 24,454.80, 36,671.40 and 9,658.80

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Solution

The fourth proportional to 24,454.80, 36,671.40 and 9,658.80 is: 14,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.80 : 36,671.40 = 9,658.80 : x
  2. Step 2: Convert to fraction form
    24,454.80/36,671.40 = 9,658.80/x
  3. Step 3: Cross multiply
    24,454.80x = 36,671.40 × 9,658.80
  4. Step 4: Simplify right side
    24,454.80x = 354,201,718.32
  5. Step 5: Solve for x
    x = 354,201,718.32/24,454.80
  6. Step 6: Final answer
    x = 14,483.93

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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.