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Finding the Fourth Proportional to 21,707.80, 32,537.40 and 12,352.30

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Solution

The fourth proportional to 21,707.80, 32,537.40 and 12,352.30 is: 18,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.80 : 32,537.40 = 12,352.30 : x
  2. Step 2: Convert to fraction form
    21,707.80/32,537.40 = 12,352.30/x
  3. Step 3: Cross multiply
    21,707.80x = 32,537.40 × 12,352.30
  4. Step 4: Simplify right side
    21,707.80x = 401,911,726.02
  5. Step 5: Solve for x
    x = 401,911,726.02/21,707.80
  6. Step 6: Final answer
    x = 18,514.62

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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.