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Finding the Fourth Proportional to 24,294.36, 36,438.66 and 7,653.72

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Solution

The fourth proportional to 24,294.36, 36,438.66 and 7,653.72 is: 11,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.36 : 36,438.66 = 7,653.72 : x
  2. Step 2: Convert to fraction form
    24,294.36/36,438.66 = 7,653.72/x
  3. Step 3: Cross multiply
    24,294.36x = 36,438.66 × 7,653.72
  4. Step 4: Simplify right side
    24,294.36x = 278,891,300.82
  5. Step 5: Solve for x
    x = 278,891,300.82/24,294.36
  6. Step 6: Final answer
    x = 11,479.67

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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.