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Finding the Fourth Proportional to 25,642.34, 38,449.08 and 17,646.50

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Solution

The fourth proportional to 25,642.34, 38,449.08 and 17,646.50 is: 26,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.34 : 38,449.08 = 17,646.50 : x
  2. Step 2: Convert to fraction form
    25,642.34/38,449.08 = 17,646.50/x
  3. Step 3: Cross multiply
    25,642.34x = 38,449.08 × 17,646.50
  4. Step 4: Simplify right side
    25,642.34x = 678,491,678.20
  5. Step 5: Solve for x
    x = 678,491,678.20/25,642.34
  6. Step 6: Final answer
    x = 26,459.82

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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.