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Finding the Fourth Proportional to 17,819.88, 24,588.90 and 9,862

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Solution

The fourth proportional to 17,819.88, 24,588.90 and 9,862 is: 13,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.88 : 24,588.90 = 9,862 : x
  2. Step 2: Convert to fraction form
    17,819.88/24,588.90 = 9,862/x
  3. Step 3: Cross multiply
    17,819.88x = 24,588.90 × 9,862
  4. Step 4: Simplify right side
    17,819.88x = 242,495,731.80
  5. Step 5: Solve for x
    x = 242,495,731.80/17,819.88
  6. Step 6: Final answer
    x = 13,608.16

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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.