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Finding the Fourth Proportional to 15,765.56, 23,648.76 and 4,078.76

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Solution

The fourth proportional to 15,765.56, 23,648.76 and 4,078.76 is: 6,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.56 : 23,648.76 = 4,078.76 : x
  2. Step 2: Convert to fraction form
    15,765.56/23,648.76 = 4,078.76/x
  3. Step 3: Cross multiply
    15,765.56x = 23,648.76 × 4,078.76
  4. Step 4: Simplify right side
    15,765.56x = 96,457,616.34
  5. Step 5: Solve for x
    x = 96,457,616.34/15,765.56
  6. Step 6: Final answer
    x = 6,118.25

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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.