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Finding the Fourth Proportional to 12,897.71, 19,320.65 and 6,728.75

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Solution

The fourth proportional to 12,897.71, 19,320.65 and 6,728.75 is: 10,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.71 : 19,320.65 = 6,728.75 : x
  2. Step 2: Convert to fraction form
    12,897.71/19,320.65 = 6,728.75/x
  3. Step 3: Cross multiply
    12,897.71x = 19,320.65 × 6,728.75
  4. Step 4: Simplify right side
    12,897.71x = 130,003,790.04
  5. Step 5: Solve for x
    x = 130,003,790.04/12,897.71
  6. Step 6: Final answer
    x = 10,079.60

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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.