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Finding the Fourth Proportional to 15,152.16, 22,735.14 and 6,834.36

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Solution

The fourth proportional to 15,152.16, 22,735.14 and 6,834.36 is: 10,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.16 : 22,735.14 = 6,834.36 : x
  2. Step 2: Convert to fraction form
    15,152.16/22,735.14 = 6,834.36/x
  3. Step 3: Cross multiply
    15,152.16x = 22,735.14 × 6,834.36
  4. Step 4: Simplify right side
    15,152.16x = 155,380,131.41
  5. Step 5: Solve for x
    x = 155,380,131.41/15,152.16
  6. Step 6: Final answer
    x = 10,254.65

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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.