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Finding the Fourth Proportional to 15,705.09, 21,669.53 and 9,331.20

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Solution

The fourth proportional to 15,705.09, 21,669.53 and 9,331.20 is: 12,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.09 : 21,669.53 = 9,331.20 : x
  2. Step 2: Convert to fraction form
    15,705.09/21,669.53 = 9,331.20/x
  3. Step 3: Cross multiply
    15,705.09x = 21,669.53 × 9,331.20
  4. Step 4: Simplify right side
    15,705.09x = 202,202,671.68
  5. Step 5: Solve for x
    x = 202,202,671.68/15,705.09
  6. Step 6: Final answer
    x = 12,874.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.