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Finding the Fourth Proportional to 15,713.60, 21,685.04 and 8,640

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Solution

The fourth proportional to 15,713.60, 21,685.04 and 8,640 is: 11,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.60 : 21,685.04 = 8,640 : x
  2. Step 2: Convert to fraction form
    15,713.60/21,685.04 = 8,640/x
  3. Step 3: Cross multiply
    15,713.60x = 21,685.04 × 8,640
  4. Step 4: Simplify right side
    15,713.60x = 187,358,745.60
  5. Step 5: Solve for x
    x = 187,358,745.60/15,713.60
  6. Step 6: Final answer
    x = 11,923.35

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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.