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Finding the Fourth Proportional to 13,484.16, 20,228.40 and 4,248

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Solution

The fourth proportional to 13,484.16, 20,228.40 and 4,248 is: 6,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.16 : 20,228.40 = 4,248 : x
  2. Step 2: Convert to fraction form
    13,484.16/20,228.40 = 4,248/x
  3. Step 3: Cross multiply
    13,484.16x = 20,228.40 × 4,248
  4. Step 4: Simplify right side
    13,484.16x = 85,930,243.20
  5. Step 5: Solve for x
    x = 85,930,243.20/13,484.16
  6. Step 6: Final answer
    x = 6,372.68

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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.