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Finding the Fourth Proportional to 15,356.76, 23,041.62 and 7,565.64

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Solution

The fourth proportional to 15,356.76, 23,041.62 and 7,565.64 is: 11,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,356.76 : 23,041.62 = 7,565.64 : x
  2. Step 2: Convert to fraction form
    15,356.76/23,041.62 = 7,565.64/x
  3. Step 3: Cross multiply
    15,356.76x = 23,041.62 × 7,565.64
  4. Step 4: Simplify right side
    15,356.76x = 174,324,601.94
  5. Step 5: Solve for x
    x = 174,324,601.94/15,356.76
  6. Step 6: Final answer
    x = 11,351.65

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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.