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Finding the Fourth Proportional to 12,356.80, 18,535.14 and 4,148.80

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Solution

The fourth proportional to 12,356.80, 18,535.14 and 4,148.80 is: 6,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.80 : 18,535.14 = 4,148.80 : x
  2. Step 2: Convert to fraction form
    12,356.80/18,535.14 = 4,148.80/x
  3. Step 3: Cross multiply
    12,356.80x = 18,535.14 × 4,148.80
  4. Step 4: Simplify right side
    12,356.80x = 76,898,588.83
  5. Step 5: Solve for x
    x = 76,898,588.83/12,356.80
  6. Step 6: Final answer
    x = 6,223.18

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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.