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Finding the Fourth Proportional to 19,705.85, 27,193.70 and 10,753.13

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Solution

The fourth proportional to 19,705.85, 27,193.70 and 10,753.13 is: 14,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.85 : 27,193.70 = 10,753.13 : x
  2. Step 2: Convert to fraction form
    19,705.85/27,193.70 = 10,753.13/x
  3. Step 3: Cross multiply
    19,705.85x = 27,193.70 × 10,753.13
  4. Step 4: Simplify right side
    19,705.85x = 292,417,201.55
  5. Step 5: Solve for x
    x = 292,417,201.55/19,705.85
  6. Step 6: Final answer
    x = 14,839.11

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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.