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Finding the Fourth Proportional to 19,862.46, 29,797.53 and 7,549.50

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Solution

The fourth proportional to 19,862.46, 29,797.53 and 7,549.50 is: 11,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.46 : 29,797.53 = 7,549.50 : x
  2. Step 2: Convert to fraction form
    19,862.46/29,797.53 = 7,549.50/x
  3. Step 3: Cross multiply
    19,862.46x = 29,797.53 × 7,549.50
  4. Step 4: Simplify right side
    19,862.46x = 224,956,452.74
  5. Step 5: Solve for x
    x = 224,956,452.74/19,862.46
  6. Step 6: Final answer
    x = 11,325.71

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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.