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Finding the Fourth Proportional to 19,763.76, 29,647.19 and 5,724

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Solution

The fourth proportional to 19,763.76, 29,647.19 and 5,724 is: 8,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.76 : 29,647.19 = 5,724 : x
  2. Step 2: Convert to fraction form
    19,763.76/29,647.19 = 5,724/x
  3. Step 3: Cross multiply
    19,763.76x = 29,647.19 × 5,724
  4. Step 4: Simplify right side
    19,763.76x = 169,700,515.56
  5. Step 5: Solve for x
    x = 169,700,515.56/19,763.76
  6. Step 6: Final answer
    x = 8,586.45

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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.