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Finding the Fourth Proportional to 17,381.76, 23,989.16 and 10,666.14

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Solution

The fourth proportional to 17,381.76, 23,989.16 and 10,666.14 is: 14,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.76 : 23,989.16 = 10,666.14 : x
  2. Step 2: Convert to fraction form
    17,381.76/23,989.16 = 10,666.14/x
  3. Step 3: Cross multiply
    17,381.76x = 23,989.16 × 10,666.14
  4. Step 4: Simplify right side
    17,381.76x = 255,871,739.04
  5. Step 5: Solve for x
    x = 255,871,739.04/17,381.76
  6. Step 6: Final answer
    x = 14,720.70

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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.