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Finding the Fourth Proportional to 24,758.16, 37,143.39 and 12,284.04

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Solution

The fourth proportional to 24,758.16, 37,143.39 and 12,284.04 is: 18,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.16 : 37,143.39 = 12,284.04 : x
  2. Step 2: Convert to fraction form
    24,758.16/37,143.39 = 12,284.04/x
  3. Step 3: Cross multiply
    24,758.16x = 37,143.39 × 12,284.04
  4. Step 4: Simplify right side
    24,758.16x = 456,270,888.50
  5. Step 5: Solve for x
    x = 456,270,888.50/24,758.16
  6. Step 6: Final answer
    x = 18,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.