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Finding the Fourth Proportional to 13,827.60, 20,728.80 and 5,060.40

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Solution

The fourth proportional to 13,827.60, 20,728.80 and 5,060.40 is: 7,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.60 : 20,728.80 = 5,060.40 : x
  2. Step 2: Convert to fraction form
    13,827.60/20,728.80 = 5,060.40/x
  3. Step 3: Cross multiply
    13,827.60x = 20,728.80 × 5,060.40
  4. Step 4: Simplify right side
    13,827.60x = 104,896,019.52
  5. Step 5: Solve for x
    x = 104,896,019.52/13,827.60
  6. Step 6: Final answer
    x = 7,585.99

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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.