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Finding the Fourth Proportional to 12,830.32, 17,701.68 and 7,164.15

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Solution

The fourth proportional to 12,830.32, 17,701.68 and 7,164.15 is: 9,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.32 : 17,701.68 = 7,164.15 : x
  2. Step 2: Convert to fraction form
    12,830.32/17,701.68 = 7,164.15/x
  3. Step 3: Cross multiply
    12,830.32x = 17,701.68 × 7,164.15
  4. Step 4: Simplify right side
    12,830.32x = 126,817,490.77
  5. Step 5: Solve for x
    x = 126,817,490.77/12,830.32
  6. Step 6: Final answer
    x = 9,884.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.