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Finding the Fourth Proportional to 24,973.30, 37,454.82 and 7,438.42

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Solution

The fourth proportional to 24,973.30, 37,454.82 and 7,438.42 is: 11,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.30 : 37,454.82 = 7,438.42 : x
  2. Step 2: Convert to fraction form
    24,973.30/37,454.82 = 7,438.42/x
  3. Step 3: Cross multiply
    24,973.30x = 37,454.82 × 7,438.42
  4. Step 4: Simplify right side
    24,973.30x = 278,604,682.18
  5. Step 5: Solve for x
    x = 278,604,682.18/24,973.30
  6. Step 6: Final answer
    x = 11,156.10

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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.