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Finding the Fourth Proportional to 10,347.40, 15,521.10 and 9,199.23

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Solution

The fourth proportional to 10,347.40, 15,521.10 and 9,199.23 is: 13,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.40 : 15,521.10 = 9,199.23 : x
  2. Step 2: Convert to fraction form
    10,347.40/15,521.10 = 9,199.23/x
  3. Step 3: Cross multiply
    10,347.40x = 15,521.10 × 9,199.23
  4. Step 4: Simplify right side
    10,347.40x = 142,782,168.75
  5. Step 5: Solve for x
    x = 142,782,168.75/10,347.40
  6. Step 6: Final answer
    x = 13,798.85

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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.