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Finding the Fourth Proportional to 14,417.56, 21,630.78 and 8,175.64

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Solution

The fourth proportional to 14,417.56, 21,630.78 and 8,175.64 is: 12,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.56 : 21,630.78 = 8,175.64 : x
  2. Step 2: Convert to fraction form
    14,417.56/21,630.78 = 8,175.64/x
  3. Step 3: Cross multiply
    14,417.56x = 21,630.78 × 8,175.64
  4. Step 4: Simplify right side
    14,417.56x = 176,845,470.20
  5. Step 5: Solve for x
    x = 176,845,470.20/14,417.56
  6. Step 6: Final answer
    x = 12,265.98

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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.