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Finding the Fourth Proportional to 18,277.64, 25,223.20 and 9,894.12

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Solution

The fourth proportional to 18,277.64, 25,223.20 and 9,894.12 is: 13,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.64 : 25,223.20 = 9,894.12 : x
  2. Step 2: Convert to fraction form
    18,277.64/25,223.20 = 9,894.12/x
  3. Step 3: Cross multiply
    18,277.64x = 25,223.20 × 9,894.12
  4. Step 4: Simplify right side
    18,277.64x = 249,561,367.58
  5. Step 5: Solve for x
    x = 249,561,367.58/18,277.64
  6. Step 6: Final answer
    x = 13,653.92

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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.