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Finding the Fourth Proportional to 19,686.48, 27,166.75 and 10,734.16

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Solution

The fourth proportional to 19,686.48, 27,166.75 and 10,734.16 is: 14,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.48 : 27,166.75 = 10,734.16 : x
  2. Step 2: Convert to fraction form
    19,686.48/27,166.75 = 10,734.16/x
  3. Step 3: Cross multiply
    19,686.48x = 27,166.75 × 10,734.16
  4. Step 4: Simplify right side
    19,686.48x = 291,612,173.26
  5. Step 5: Solve for x
    x = 291,612,173.26/19,686.48
  6. Step 6: Final answer
    x = 14,812.81

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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.