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Finding the Fourth Proportional to 15,206.39, 22,812.78 and 5,718.76

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Solution

The fourth proportional to 15,206.39, 22,812.78 and 5,718.76 is: 8,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.39 : 22,812.78 = 5,718.76 : x
  2. Step 2: Convert to fraction form
    15,206.39/22,812.78 = 5,718.76/x
  3. Step 3: Cross multiply
    15,206.39x = 22,812.78 × 5,718.76
  4. Step 4: Simplify right side
    15,206.39x = 130,460,813.75
  5. Step 5: Solve for x
    x = 130,460,813.75/15,206.39
  6. Step 6: Final answer
    x = 8,579.34

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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.