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Finding the Fourth Proportional to 12,569.70, 18,839.88 and 9,252.08

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Solution

The fourth proportional to 12,569.70, 18,839.88 and 9,252.08 is: 13,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.70 : 18,839.88 = 9,252.08 : x
  2. Step 2: Convert to fraction form
    12,569.70/18,839.88 = 9,252.08/x
  3. Step 3: Cross multiply
    12,569.70x = 18,839.88 × 9,252.08
  4. Step 4: Simplify right side
    12,569.70x = 174,308,076.95
  5. Step 5: Solve for x
    x = 174,308,076.95/12,569.70
  6. Step 6: Final answer
    x = 13,867.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.