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Finding the Fourth Proportional to 15,765.93, 23,648.90 and 5,377.77

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Solution

The fourth proportional to 15,765.93, 23,648.90 and 5,377.77 is: 8,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.93 : 23,648.90 = 5,377.77 : x
  2. Step 2: Convert to fraction form
    15,765.93/23,648.90 = 5,377.77/x
  3. Step 3: Cross multiply
    15,765.93x = 23,648.90 × 5,377.77
  4. Step 4: Simplify right side
    15,765.93x = 127,178,318.06
  5. Step 5: Solve for x
    x = 127,178,318.06/15,765.93
  6. Step 6: Final answer
    x = 8,066.66

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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.