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Finding the Fourth Proportional to 21,514.41, 32,275.62 and 9,667.89

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Solution

The fourth proportional to 21,514.41, 32,275.62 and 9,667.89 is: 14,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.41 : 32,275.62 = 9,667.89 : x
  2. Step 2: Convert to fraction form
    21,514.41/32,275.62 = 9,667.89/x
  3. Step 3: Cross multiply
    21,514.41x = 32,275.62 × 9,667.89
  4. Step 4: Simplify right side
    21,514.41x = 312,037,143.84
  5. Step 5: Solve for x
    x = 312,037,143.84/21,514.41
  6. Step 6: Final answer
    x = 14,503.63

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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.