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Finding the Fourth Proportional to 14,591.80, 21,875.70 and 6,278.20

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Solution

The fourth proportional to 14,591.80, 21,875.70 and 6,278.20 is: 9,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.80 : 21,875.70 = 6,278.20 : x
  2. Step 2: Convert to fraction form
    14,591.80/21,875.70 = 6,278.20/x
  3. Step 3: Cross multiply
    14,591.80x = 21,875.70 × 6,278.20
  4. Step 4: Simplify right side
    14,591.80x = 137,340,019.74
  5. Step 5: Solve for x
    x = 137,340,019.74/14,591.80
  6. Step 6: Final answer
    x = 9,412.14

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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.