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Finding the Fourth Proportional to 15,224.49, 21,009.87 and 8,510.40

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Solution

The fourth proportional to 15,224.49, 21,009.87 and 8,510.40 is: 11,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.49 : 21,009.87 = 8,510.40 : x
  2. Step 2: Convert to fraction form
    15,224.49/21,009.87 = 8,510.40/x
  3. Step 3: Cross multiply
    15,224.49x = 21,009.87 × 8,510.40
  4. Step 4: Simplify right side
    15,224.49x = 178,802,397.65
  5. Step 5: Solve for x
    x = 178,802,397.65/15,224.49
  6. Step 6: Final answer
    x = 11,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.