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Finding the Fourth Proportional to 18,032.42, 24,881.69 and 10,074.71

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Solution

The fourth proportional to 18,032.42, 24,881.69 and 10,074.71 is: 13,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.42 : 24,881.69 = 10,074.71 : x
  2. Step 2: Convert to fraction form
    18,032.42/24,881.69 = 10,074.71/x
  3. Step 3: Cross multiply
    18,032.42x = 24,881.69 × 10,074.71
  4. Step 4: Simplify right side
    18,032.42x = 250,675,636.28
  5. Step 5: Solve for x
    x = 250,675,636.28/18,032.42
  6. Step 6: Final answer
    x = 13,901.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.