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Finding the Fourth Proportional to 20,888.76, 31,338.92 and 9,647.54

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Solution

The fourth proportional to 20,888.76, 31,338.92 and 9,647.54 is: 14,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.76 : 31,338.92 = 9,647.54 : x
  2. Step 2: Convert to fraction form
    20,888.76/31,338.92 = 9,647.54/x
  3. Step 3: Cross multiply
    20,888.76x = 31,338.92 × 9,647.54
  4. Step 4: Simplify right side
    20,888.76x = 302,343,484.26
  5. Step 5: Solve for x
    x = 302,343,484.26/20,888.76
  6. Step 6: Final answer
    x = 14,473.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.