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Finding the Fourth Proportional to 17,746.80, 24,489.68 and 9,788.80

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Solution

The fourth proportional to 17,746.80, 24,489.68 and 9,788.80 is: 13,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.80 : 24,489.68 = 9,788.80 : x
  2. Step 2: Convert to fraction form
    17,746.80/24,489.68 = 9,788.80/x
  3. Step 3: Cross multiply
    17,746.80x = 24,489.68 × 9,788.80
  4. Step 4: Simplify right side
    17,746.80x = 239,724,579.58
  5. Step 5: Solve for x
    x = 239,724,579.58/17,746.80
  6. Step 6: Final answer
    x = 13,508.05

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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.