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Finding the Fourth Proportional to 15,826.98, 23,743.08 and 7,061.56

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Solution

The fourth proportional to 15,826.98, 23,743.08 and 7,061.56 is: 10,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.98 : 23,743.08 = 7,061.56 : x
  2. Step 2: Convert to fraction form
    15,826.98/23,743.08 = 7,061.56/x
  3. Step 3: Cross multiply
    15,826.98x = 23,743.08 × 7,061.56
  4. Step 4: Simplify right side
    15,826.98x = 167,663,184.00
  5. Step 5: Solve for x
    x = 167,663,184.00/15,826.98
  6. Step 6: Final answer
    x = 10,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.