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Finding the Fourth Proportional to 14,714.64, 22,071.46 and 6,394.65

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Solution

The fourth proportional to 14,714.64, 22,071.46 and 6,394.65 is: 9,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.64 : 22,071.46 = 6,394.65 : x
  2. Step 2: Convert to fraction form
    14,714.64/22,071.46 = 6,394.65/x
  3. Step 3: Cross multiply
    14,714.64x = 22,071.46 × 6,394.65
  4. Step 4: Simplify right side
    14,714.64x = 141,139,326.32
  5. Step 5: Solve for x
    x = 141,139,326.32/14,714.64
  6. Step 6: Final answer
    x = 9,591.76

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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.