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Finding the Fourth Proportional to 12,069.48, 18,108.14 and 5,830.20

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Solution

The fourth proportional to 12,069.48, 18,108.14 and 5,830.20 is: 8,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.48 : 18,108.14 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    12,069.48/18,108.14 = 5,830.20/x
  3. Step 3: Cross multiply
    12,069.48x = 18,108.14 × 5,830.20
  4. Step 4: Simplify right side
    12,069.48x = 105,574,132.40
  5. Step 5: Solve for x
    x = 105,574,132.40/12,069.48
  6. Step 6: Final answer
    x = 8,747.20

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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.