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Finding the Fourth Proportional to 19,817.12, 27,347.48 and 10,865

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Solution

The fourth proportional to 19,817.12, 27,347.48 and 10,865 is: 14,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.12 : 27,347.48 = 10,865 : x
  2. Step 2: Convert to fraction form
    19,817.12/27,347.48 = 10,865/x
  3. Step 3: Cross multiply
    19,817.12x = 27,347.48 × 10,865
  4. Step 4: Simplify right side
    19,817.12x = 297,130,370.20
  5. Step 5: Solve for x
    x = 297,130,370.20/19,817.12
  6. Step 6: Final answer
    x = 14,993.62

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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.