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Finding the Fourth Proportional to 24,296.16, 36,455.76 and 14,454.84

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Solution

The fourth proportional to 24,296.16, 36,455.76 and 14,454.84 is: 21,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.16 : 36,455.76 = 14,454.84 : x
  2. Step 2: Convert to fraction form
    24,296.16/36,455.76 = 14,454.84/x
  3. Step 3: Cross multiply
    24,296.16x = 36,455.76 × 14,454.84
  4. Step 4: Simplify right side
    24,296.16x = 526,962,177.88
  5. Step 5: Solve for x
    x = 526,962,177.88/24,296.16
  6. Step 6: Final answer
    x = 21,689.11

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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.