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Finding the Fourth Proportional to 14,454.30, 21,666.54 and 7,049.61

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Solution

The fourth proportional to 14,454.30, 21,666.54 and 7,049.61 is: 10,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.30 : 21,666.54 = 7,049.61 : x
  2. Step 2: Convert to fraction form
    14,454.30/21,666.54 = 7,049.61/x
  3. Step 3: Cross multiply
    14,454.30x = 21,666.54 × 7,049.61
  4. Step 4: Simplify right side
    14,454.30x = 152,740,657.05
  5. Step 5: Solve for x
    x = 152,740,657.05/14,454.30
  6. Step 6: Final answer
    x = 10,567.14

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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.