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Finding the Fourth Proportional to 13,368.50, 20,052.32 and 6,353.57

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Solution

The fourth proportional to 13,368.50, 20,052.32 and 6,353.57 is: 9,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368.50 : 20,052.32 = 6,353.57 : x
  2. Step 2: Convert to fraction form
    13,368.50/20,052.32 = 6,353.57/x
  3. Step 3: Cross multiply
    13,368.50x = 20,052.32 × 6,353.57
  4. Step 4: Simplify right side
    13,368.50x = 127,403,686.75
  5. Step 5: Solve for x
    x = 127,403,686.75/13,368.50
  6. Step 6: Final answer
    x = 9,530.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.