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Finding the Fourth Proportional to 14,188.97, 21,254.75 and 7,159.19

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Solution

The fourth proportional to 14,188.97, 21,254.75 and 7,159.19 is: 10,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.97 : 21,254.75 = 7,159.19 : x
  2. Step 2: Convert to fraction form
    14,188.97/21,254.75 = 7,159.19/x
  3. Step 3: Cross multiply
    14,188.97x = 21,254.75 × 7,159.19
  4. Step 4: Simplify right side
    14,188.97x = 152,166,718.70
  5. Step 5: Solve for x
    x = 152,166,718.70/14,188.97
  6. Step 6: Final answer
    x = 10,724.29

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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.