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Finding the Fourth Proportional to 15,223.12, 22,834.70 and 4,834.88

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Solution

The fourth proportional to 15,223.12, 22,834.70 and 4,834.88 is: 7,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.12 : 22,834.70 = 4,834.88 : x
  2. Step 2: Convert to fraction form
    15,223.12/22,834.70 = 4,834.88/x
  3. Step 3: Cross multiply
    15,223.12x = 22,834.70 × 4,834.88
  4. Step 4: Simplify right side
    15,223.12x = 110,403,034.34
  5. Step 5: Solve for x
    x = 110,403,034.34/15,223.12
  6. Step 6: Final answer
    x = 7,252.33

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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.