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Finding the Fourth Proportional to 13,528, 20,296.62 and 7,288.66

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Solution

The fourth proportional to 13,528, 20,296.62 and 7,288.66 is: 10,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 20,296.62 = 7,288.66 : x
  2. Step 2: Convert to fraction form
    13,528/20,296.62 = 7,288.66/x
  3. Step 3: Cross multiply
    13,528x = 20,296.62 × 7,288.66
  4. Step 4: Simplify right side
    13,528x = 147,935,162.33
  5. Step 5: Solve for x
    x = 147,935,162.33/13,528
  6. Step 6: Final answer
    x = 10,935.48

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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.