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Finding the Fourth Proportional to 13,830.06, 20,737.78 and 6,029.76

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Solution

The fourth proportional to 13,830.06, 20,737.78 and 6,029.76 is: 9,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.06 : 20,737.78 = 6,029.76 : x
  2. Step 2: Convert to fraction form
    13,830.06/20,737.78 = 6,029.76/x
  3. Step 3: Cross multiply
    13,830.06x = 20,737.78 × 6,029.76
  4. Step 4: Simplify right side
    13,830.06x = 125,043,836.33
  5. Step 5: Solve for x
    x = 125,043,836.33/13,830.06
  6. Step 6: Final answer
    x = 9,041.45

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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.