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Finding the Fourth Proportional to 34,490.32, 51,745.02 and 13,728.40

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Solution

The fourth proportional to 34,490.32, 51,745.02 and 13,728.40 is: 20,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490.32 : 51,745.02 = 13,728.40 : x
  2. Step 2: Convert to fraction form
    34,490.32/51,745.02 = 13,728.40/x
  3. Step 3: Cross multiply
    34,490.32x = 51,745.02 × 13,728.40
  4. Step 4: Simplify right side
    34,490.32x = 710,376,332.57
  5. Step 5: Solve for x
    x = 710,376,332.57/34,490.32
  6. Step 6: Final answer
    x = 20,596.40

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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.