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Finding the Fourth Proportional to 25,254.40, 37,885.85 and 7,720.13

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Solution

The fourth proportional to 25,254.40, 37,885.85 and 7,720.13 is: 11,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.40 : 37,885.85 = 7,720.13 : x
  2. Step 2: Convert to fraction form
    25,254.40/37,885.85 = 7,720.13/x
  3. Step 3: Cross multiply
    25,254.40x = 37,885.85 × 7,720.13
  4. Step 4: Simplify right side
    25,254.40x = 292,483,687.16
  5. Step 5: Solve for x
    x = 292,483,687.16/25,254.40
  6. Step 6: Final answer
    x = 11,581.49

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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.