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Finding the Fourth Proportional to 25,032, 34,544.70 and 13,854

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Solution

The fourth proportional to 25,032, 34,544.70 and 13,854 is: 19,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032 : 34,544.70 = 13,854 : x
  2. Step 2: Convert to fraction form
    25,032/34,544.70 = 13,854/x
  3. Step 3: Cross multiply
    25,032x = 34,544.70 × 13,854
  4. Step 4: Simplify right side
    25,032x = 478,582,273.80
  5. Step 5: Solve for x
    x = 478,582,273.80/25,032
  6. Step 6: Final answer
    x = 19,118.82

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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.