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Finding the Fourth Proportional to 21,570.26, 32,341.98 and 9,083.85

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Solution

The fourth proportional to 21,570.26, 32,341.98 and 9,083.85 is: 13,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.26 : 32,341.98 = 9,083.85 : x
  2. Step 2: Convert to fraction form
    21,570.26/32,341.98 = 9,083.85/x
  3. Step 3: Cross multiply
    21,570.26x = 32,341.98 × 9,083.85
  4. Step 4: Simplify right side
    21,570.26x = 293,789,695.02
  5. Step 5: Solve for x
    x = 293,789,695.02/21,570.26
  6. Step 6: Final answer
    x = 13,620.13

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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.