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Finding the Fourth Proportional to 13,830.78, 20,753.46 and 6,030.48

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Solution

The fourth proportional to 13,830.78, 20,753.46 and 6,030.48 is: 9,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.78 : 20,753.46 = 6,030.48 : x
  2. Step 2: Convert to fraction form
    13,830.78/20,753.46 = 6,030.48/x
  3. Step 3: Cross multiply
    13,830.78x = 20,753.46 × 6,030.48
  4. Step 4: Simplify right side
    13,830.78x = 125,153,325.46
  5. Step 5: Solve for x
    x = 125,153,325.46/13,830.78
  6. Step 6: Final answer
    x = 9,048.90

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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.