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Finding the Fourth Proportional to 24,876.63, 37,291.49 and 12,384.84

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Solution

The fourth proportional to 24,876.63, 37,291.49 and 12,384.84 is: 18,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.63 : 37,291.49 = 12,384.84 : x
  2. Step 2: Convert to fraction form
    24,876.63/37,291.49 = 12,384.84/x
  3. Step 3: Cross multiply
    24,876.63x = 37,291.49 × 12,384.84
  4. Step 4: Simplify right side
    24,876.63x = 461,849,137.01
  5. Step 5: Solve for x
    x = 461,849,137.01/24,876.63
  6. Step 6: Final answer
    x = 18,565.58

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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.