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Finding the Fourth Proportional to 14,309.96, 21,456.57 and 6,514.52

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Solution

The fourth proportional to 14,309.96, 21,456.57 and 6,514.52 is: 9,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.96 : 21,456.57 = 6,514.52 : x
  2. Step 2: Convert to fraction form
    14,309.96/21,456.57 = 6,514.52/x
  3. Step 3: Cross multiply
    14,309.96x = 21,456.57 × 6,514.52
  4. Step 4: Simplify right side
    14,309.96x = 139,779,254.40
  5. Step 5: Solve for x
    x = 139,779,254.40/14,309.96
  6. Step 6: Final answer
    x = 9,767.97

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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.