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Finding the Fourth Proportional to 25,643.97, 38,473.02 and 9,001.81

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Solution

The fourth proportional to 25,643.97, 38,473.02 and 9,001.81 is: 13,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.97 : 38,473.02 = 9,001.81 : x
  2. Step 2: Convert to fraction form
    25,643.97/38,473.02 = 9,001.81/x
  3. Step 3: Cross multiply
    25,643.97x = 38,473.02 × 9,001.81
  4. Step 4: Simplify right side
    25,643.97x = 346,326,719.98
  5. Step 5: Solve for x
    x = 346,326,719.98/25,643.97
  6. Step 6: Final answer
    x = 13,505.19

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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.