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Finding the Fourth Proportional to 24,423.16, 36,634.90 and 8,841.40

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Solution

The fourth proportional to 24,423.16, 36,634.90 and 8,841.40 is: 13,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.16 : 36,634.90 = 8,841.40 : x
  2. Step 2: Convert to fraction form
    24,423.16/36,634.90 = 8,841.40/x
  3. Step 3: Cross multiply
    24,423.16x = 36,634.90 × 8,841.40
  4. Step 4: Simplify right side
    24,423.16x = 323,903,804.86
  5. Step 5: Solve for x
    x = 323,903,804.86/24,423.16
  6. Step 6: Final answer
    x = 13,262.16

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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.