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Finding the Fourth Proportional to 15,071.28, 22,601.52 and 5,208

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Solution

The fourth proportional to 15,071.28, 22,601.52 and 5,208 is: 7,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071.28 : 22,601.52 = 5,208 : x
  2. Step 2: Convert to fraction form
    15,071.28/22,601.52 = 5,208/x
  3. Step 3: Cross multiply
    15,071.28x = 22,601.52 × 5,208
  4. Step 4: Simplify right side
    15,071.28x = 117,708,716.16
  5. Step 5: Solve for x
    x = 117,708,716.16/15,071.28
  6. Step 6: Final answer
    x = 7,810.13

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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.