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Finding the Fourth Proportional to 15,767.76, 23,653.02 and 4,523.16

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Solution

The fourth proportional to 15,767.76, 23,653.02 and 4,523.16 is: 6,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.76 : 23,653.02 = 4,523.16 : x
  2. Step 2: Convert to fraction form
    15,767.76/23,653.02 = 4,523.16/x
  3. Step 3: Cross multiply
    15,767.76x = 23,653.02 × 4,523.16
  4. Step 4: Simplify right side
    15,767.76x = 106,986,393.94
  5. Step 5: Solve for x
    x = 106,986,393.94/15,767.76
  6. Step 6: Final answer
    x = 6,785.14

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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.