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Finding the Fourth Proportional to 16,349.18, 24,505.11 and 7,444.67

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Solution

The fourth proportional to 16,349.18, 24,505.11 and 7,444.67 is: 11,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.18 : 24,505.11 = 7,444.67 : x
  2. Step 2: Convert to fraction form
    16,349.18/24,505.11 = 7,444.67/x
  3. Step 3: Cross multiply
    16,349.18x = 24,505.11 × 7,444.67
  4. Step 4: Simplify right side
    16,349.18x = 182,432,334.74
  5. Step 5: Solve for x
    x = 182,432,334.74/16,349.18
  6. Step 6: Final answer
    x = 11,158.50

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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.