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Finding the Fourth Proportional to 15,227.16, 22,842.57 and 5,364.40

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Solution

The fourth proportional to 15,227.16, 22,842.57 and 5,364.40 is: 8,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.16 : 22,842.57 = 5,364.40 : x
  2. Step 2: Convert to fraction form
    15,227.16/22,842.57 = 5,364.40/x
  3. Step 3: Cross multiply
    15,227.16x = 22,842.57 × 5,364.40
  4. Step 4: Simplify right side
    15,227.16x = 122,536,682.51
  5. Step 5: Solve for x
    x = 122,536,682.51/15,227.16
  6. Step 6: Final answer
    x = 8,047.24

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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.