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Finding the Fourth Proportional to 15,574.96, 23,363.16 and 5,709.52

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Solution

The fourth proportional to 15,574.96, 23,363.16 and 5,709.52 is: 8,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.96 : 23,363.16 = 5,709.52 : x
  2. Step 2: Convert to fraction form
    15,574.96/23,363.16 = 5,709.52/x
  3. Step 3: Cross multiply
    15,574.96x = 23,363.16 × 5,709.52
  4. Step 4: Simplify right side
    15,574.96x = 133,392,429.28
  5. Step 5: Solve for x
    x = 133,392,429.28/15,574.96
  6. Step 6: Final answer
    x = 8,564.54

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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.