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Finding the Fourth Proportional to 11,423.20, 17,152.40 and 6,239.20

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Solution

The fourth proportional to 11,423.20, 17,152.40 and 6,239.20 is: 9,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.20 : 17,152.40 = 6,239.20 : x
  2. Step 2: Convert to fraction form
    11,423.20/17,152.40 = 6,239.20/x
  3. Step 3: Cross multiply
    11,423.20x = 17,152.40 × 6,239.20
  4. Step 4: Simplify right side
    11,423.20x = 107,017,254.08
  5. Step 5: Solve for x
    x = 107,017,254.08/11,423.20
  6. Step 6: Final answer
    x = 9,368.41

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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.