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Finding the Fourth Proportional to 16,199.32, 24,307.18 and 7,440.38

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Solution

The fourth proportional to 16,199.32, 24,307.18 and 7,440.38 is: 11,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.32 : 24,307.18 = 7,440.38 : x
  2. Step 2: Convert to fraction form
    16,199.32/24,307.18 = 7,440.38/x
  3. Step 3: Cross multiply
    16,199.32x = 24,307.18 × 7,440.38
  4. Step 4: Simplify right side
    16,199.32x = 180,854,655.93
  5. Step 5: Solve for x
    x = 180,854,655.93/16,199.32
  6. Step 6: Final answer
    x = 11,164.34

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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.