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Finding the Fourth Proportional to 24,275.88, 36,421.02 and 7,638.21

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Solution

The fourth proportional to 24,275.88, 36,421.02 and 7,638.21 is: 11,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.88 : 36,421.02 = 7,638.21 : x
  2. Step 2: Convert to fraction form
    24,275.88/36,421.02 = 7,638.21/x
  3. Step 3: Cross multiply
    24,275.88x = 36,421.02 × 7,638.21
  4. Step 4: Simplify right side
    24,275.88x = 278,191,399.17
  5. Step 5: Solve for x
    x = 278,191,399.17/24,275.88
  6. Step 6: Final answer
    x = 11,459.58

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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.