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Finding the Fourth Proportional to 43,510.16, 65,264.40 and 13,928

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Solution

The fourth proportional to 43,510.16, 65,264.40 and 13,928 is: 20,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,510.16 : 65,264.40 = 13,928 : x
  2. Step 2: Convert to fraction form
    43,510.16/65,264.40 = 13,928/x
  3. Step 3: Cross multiply
    43,510.16x = 65,264.40 × 13,928
  4. Step 4: Simplify right side
    43,510.16x = 909,002,563.20
  5. Step 5: Solve for x
    x = 909,002,563.20/43,510.16
  6. Step 6: Final answer
    x = 20,891.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.