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Finding the Fourth Proportional to 18,277.97, 25,223.57 and 9,894.47

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Solution

The fourth proportional to 18,277.97, 25,223.57 and 9,894.47 is: 13,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.97 : 25,223.57 = 9,894.47 : x
  2. Step 2: Convert to fraction form
    18,277.97/25,223.57 = 9,894.47/x
  3. Step 3: Cross multiply
    18,277.97x = 25,223.57 × 9,894.47
  4. Step 4: Simplify right side
    18,277.97x = 249,573,744.13
  5. Step 5: Solve for x
    x = 249,573,744.13/18,277.97
  6. Step 6: Final answer
    x = 13,654.35

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