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Finding the Fourth Proportional to 15,218.32, 22,823.76 and 7,813.36

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Solution

The fourth proportional to 15,218.32, 22,823.76 and 7,813.36 is: 11,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218.32 : 22,823.76 = 7,813.36 : x
  2. Step 2: Convert to fraction form
    15,218.32/22,823.76 = 7,813.36/x
  3. Step 3: Cross multiply
    15,218.32x = 22,823.76 × 7,813.36
  4. Step 4: Simplify right side
    15,218.32x = 178,330,253.43
  5. Step 5: Solve for x
    x = 178,330,253.43/15,218.32
  6. Step 6: Final answer
    x = 11,718.13

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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.