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Finding the Fourth Proportional to 17,883.50, 24,679.28 and 9,817.22

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Solution

The fourth proportional to 17,883.50, 24,679.28 and 9,817.22 is: 13,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.50 : 24,679.28 = 9,817.22 : x
  2. Step 2: Convert to fraction form
    17,883.50/24,679.28 = 9,817.22/x
  3. Step 3: Cross multiply
    17,883.50x = 24,679.28 × 9,817.22
  4. Step 4: Simplify right side
    17,883.50x = 242,281,748.72
  5. Step 5: Solve for x
    x = 242,281,748.72/17,883.50
  6. Step 6: Final answer
    x = 13,547.79

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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.