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Finding the Fourth Proportional to 17,788.44, 24,547.76 and 9,831

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Solution

The fourth proportional to 17,788.44, 24,547.76 and 9,831 is: 13,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.44 : 24,547.76 = 9,831 : x
  2. Step 2: Convert to fraction form
    17,788.44/24,547.76 = 9,831/x
  3. Step 3: Cross multiply
    17,788.44x = 24,547.76 × 9,831
  4. Step 4: Simplify right side
    17,788.44x = 241,329,028.56
  5. Step 5: Solve for x
    x = 241,329,028.56/17,788.44
  6. Step 6: Final answer
    x = 13,566.62

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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.