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Finding the Fourth Proportional to 25,442, 35,109.96 and 14,264.24

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Solution

The fourth proportional to 25,442, 35,109.96 and 14,264.24 is: 19,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442 : 35,109.96 = 14,264.24 : x
  2. Step 2: Convert to fraction form
    25,442/35,109.96 = 14,264.24/x
  3. Step 3: Cross multiply
    25,442x = 35,109.96 × 14,264.24
  4. Step 4: Simplify right side
    25,442x = 500,816,895.83
  5. Step 5: Solve for x
    x = 500,816,895.83/25,442
  6. Step 6: Final answer
    x = 19,684.65

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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.