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Finding the Fourth Proportional to 15,762.28, 23,645.76 and 5,767.54

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Solution

The fourth proportional to 15,762.28, 23,645.76 and 5,767.54 is: 8,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.28 : 23,645.76 = 5,767.54 : x
  2. Step 2: Convert to fraction form
    15,762.28/23,645.76 = 5,767.54/x
  3. Step 3: Cross multiply
    15,762.28x = 23,645.76 × 5,767.54
  4. Step 4: Simplify right side
    15,762.28x = 136,377,866.63
  5. Step 5: Solve for x
    x = 136,377,866.63/15,762.28
  6. Step 6: Final answer
    x = 8,652.17

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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.