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Finding the Fourth Proportional to 27,830.88, 38,408.70 and 17,226.72

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Solution

The fourth proportional to 27,830.88, 38,408.70 and 17,226.72 is: 23,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.88 : 38,408.70 = 17,226.72 : x
  2. Step 2: Convert to fraction form
    27,830.88/38,408.70 = 17,226.72/x
  3. Step 3: Cross multiply
    27,830.88x = 38,408.70 × 17,226.72
  4. Step 4: Simplify right side
    27,830.88x = 661,655,920.46
  5. Step 5: Solve for x
    x = 661,655,920.46/27,830.88
  6. Step 6: Final answer
    x = 23,774.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.