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Finding the Fourth Proportional to 13,215, 19,816.76 and 5,001.24

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Solution

The fourth proportional to 13,215, 19,816.76 and 5,001.24 is: 7,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 19,816.76 = 5,001.24 : x
  2. Step 2: Convert to fraction form
    13,215/19,816.76 = 5,001.24/x
  3. Step 3: Cross multiply
    13,215x = 19,816.76 × 5,001.24
  4. Step 4: Simplify right side
    13,215x = 99,108,372.78
  5. Step 5: Solve for x
    x = 99,108,372.78/13,215
  6. Step 6: Final answer
    x = 7,499.69

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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.