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Finding the Fourth Proportional to 24,928.83, 37,385.12 and 8,284.39

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Solution

The fourth proportional to 24,928.83, 37,385.12 and 8,284.39 is: 12,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.83 : 37,385.12 = 8,284.39 : x
  2. Step 2: Convert to fraction form
    24,928.83/37,385.12 = 8,284.39/x
  3. Step 3: Cross multiply
    24,928.83x = 37,385.12 × 8,284.39
  4. Step 4: Simplify right side
    24,928.83x = 309,712,927.16
  5. Step 5: Solve for x
    x = 309,712,927.16/24,928.83
  6. Step 6: Final answer
    x = 12,423.89

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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.