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Finding the Fourth Proportional to 25,265.48, 37,899.22 and 9,468.86

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Solution

The fourth proportional to 25,265.48, 37,899.22 and 9,468.86 is: 14,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.48 : 37,899.22 = 9,468.86 : x
  2. Step 2: Convert to fraction form
    25,265.48/37,899.22 = 9,468.86/x
  3. Step 3: Cross multiply
    25,265.48x = 37,899.22 × 9,468.86
  4. Step 4: Simplify right side
    25,265.48x = 358,862,408.29
  5. Step 5: Solve for x
    x = 358,862,408.29/25,265.48
  6. Step 6: Final answer
    x = 14,203.66

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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.