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Finding the Fourth Proportional to 19,586.20, 29,330.70 and 15,698.20

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Solution

The fourth proportional to 19,586.20, 29,330.70 and 15,698.20 is: 23,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.20 : 29,330.70 = 15,698.20 : x
  2. Step 2: Convert to fraction form
    19,586.20/29,330.70 = 15,698.20/x
  3. Step 3: Cross multiply
    19,586.20x = 29,330.70 × 15,698.20
  4. Step 4: Simplify right side
    19,586.20x = 460,439,194.74
  5. Step 5: Solve for x
    x = 460,439,194.74/19,586.20
  6. Step 6: Final answer
    x = 23,508.35

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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.