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Finding the Fourth Proportional to 14,148.42, 21,228.06 and 5,269.20

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Solution

The fourth proportional to 14,148.42, 21,228.06 and 5,269.20 is: 7,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.42 : 21,228.06 = 5,269.20 : x
  2. Step 2: Convert to fraction form
    14,148.42/21,228.06 = 5,269.20/x
  3. Step 3: Cross multiply
    14,148.42x = 21,228.06 × 5,269.20
  4. Step 4: Simplify right side
    14,148.42x = 111,854,893.75
  5. Step 5: Solve for x
    x = 111,854,893.75/14,148.42
  6. Step 6: Final answer
    x = 7,905.82

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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.