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Finding the Fourth Proportional to 14,575.64, 21,856.46 and 6,675.71

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Solution

The fourth proportional to 14,575.64, 21,856.46 and 6,675.71 is: 10,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.64 : 21,856.46 = 6,675.71 : x
  2. Step 2: Convert to fraction form
    14,575.64/21,856.46 = 6,675.71/x
  3. Step 3: Cross multiply
    14,575.64x = 21,856.46 × 6,675.71
  4. Step 4: Simplify right side
    14,575.64x = 145,907,245.93
  5. Step 5: Solve for x
    x = 145,907,245.93/14,575.64
  6. Step 6: Final answer
    x = 10,010.35

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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.