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Finding the Fourth Proportional to 24,886.94, 34,338 and 14,129.42

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Solution

The fourth proportional to 24,886.94, 34,338 and 14,129.42 is: 19,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886.94 : 34,338 = 14,129.42 : x
  2. Step 2: Convert to fraction form
    24,886.94/34,338 = 14,129.42/x
  3. Step 3: Cross multiply
    24,886.94x = 34,338 × 14,129.42
  4. Step 4: Simplify right side
    24,886.94x = 485,176,023.96
  5. Step 5: Solve for x
    x = 485,176,023.96/24,886.94
  6. Step 6: Final answer
    x = 19,495.21

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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.