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Finding the Fourth Proportional to 23,019.74, 31,757.28 and 14,515.16

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Solution

The fourth proportional to 23,019.74, 31,757.28 and 14,515.16 is: 20,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.74 : 31,757.28 = 14,515.16 : x
  2. Step 2: Convert to fraction form
    23,019.74/31,757.28 = 14,515.16/x
  3. Step 3: Cross multiply
    23,019.74x = 31,757.28 × 14,515.16
  4. Step 4: Simplify right side
    23,019.74x = 460,962,000.36
  5. Step 5: Solve for x
    x = 460,962,000.36/23,019.74
  6. Step 6: Final answer
    x = 20,024.64

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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.