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Finding the Fourth Proportional to 19,514.60, 29,271.90 and 9,660.80

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Solution

The fourth proportional to 19,514.60, 29,271.90 and 9,660.80 is: 14,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.60 : 29,271.90 = 9,660.80 : x
  2. Step 2: Convert to fraction form
    19,514.60/29,271.90 = 9,660.80/x
  3. Step 3: Cross multiply
    19,514.60x = 29,271.90 × 9,660.80
  4. Step 4: Simplify right side
    19,514.60x = 282,789,971.52
  5. Step 5: Solve for x
    x = 282,789,971.52/19,514.60
  6. Step 6: Final answer
    x = 14,491.20

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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.