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Finding the Fourth Proportional to 15,840.80, 23,818.80 and 13,306.40

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Solution

The fourth proportional to 15,840.80, 23,818.80 and 13,306.40 is: 20,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.80 : 23,818.80 = 13,306.40 : x
  2. Step 2: Convert to fraction form
    15,840.80/23,818.80 = 13,306.40/x
  3. Step 3: Cross multiply
    15,840.80x = 23,818.80 × 13,306.40
  4. Step 4: Simplify right side
    15,840.80x = 316,942,480.32
  5. Step 5: Solve for x
    x = 316,942,480.32/15,840.80
  6. Step 6: Final answer
    x = 20,007.98

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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.