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Finding the Fourth Proportional to 15,814.16, 23,728.12 and 7,500

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Solution

The fourth proportional to 15,814.16, 23,728.12 and 7,500 is: 11,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.16 : 23,728.12 = 7,500 : x
  2. Step 2: Convert to fraction form
    15,814.16/23,728.12 = 7,500/x
  3. Step 3: Cross multiply
    15,814.16x = 23,728.12 × 7,500
  4. Step 4: Simplify right side
    15,814.16x = 177,960,900
  5. Step 5: Solve for x
    x = 177,960,900/15,814.16
  6. Step 6: Final answer
    x = 11,253.26

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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.