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Finding the Fourth Proportional to 17,774.33, 26,642.34 and 9,445.95

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Solution

The fourth proportional to 17,774.33, 26,642.34 and 9,445.95 is: 14,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.33 : 26,642.34 = 9,445.95 : x
  2. Step 2: Convert to fraction form
    17,774.33/26,642.34 = 9,445.95/x
  3. Step 3: Cross multiply
    17,774.33x = 26,642.34 × 9,445.95
  4. Step 4: Simplify right side
    17,774.33x = 251,662,211.52
  5. Step 5: Solve for x
    x = 251,662,211.52/17,774.33
  6. Step 6: Final answer
    x = 14,158.75

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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.