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Finding the Fourth Proportional to 19,514.10, 29,271.03 and 6,366.48

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Solution

The fourth proportional to 19,514.10, 29,271.03 and 6,366.48 is: 9,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.10 : 29,271.03 = 6,366.48 : x
  2. Step 2: Convert to fraction form
    19,514.10/29,271.03 = 6,366.48/x
  3. Step 3: Cross multiply
    19,514.10x = 29,271.03 × 6,366.48
  4. Step 4: Simplify right side
    19,514.10x = 186,353,427.07
  5. Step 5: Solve for x
    x = 186,353,427.07/19,514.10
  6. Step 6: Final answer
    x = 9,549.68

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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.