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Finding the Fourth Proportional to 23,422.56, 32,314.05 and 14,923.16

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Solution

The fourth proportional to 23,422.56, 32,314.05 and 14,923.16 is: 20,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.56 : 32,314.05 = 14,923.16 : x
  2. Step 2: Convert to fraction form
    23,422.56/32,314.05 = 14,923.16/x
  3. Step 3: Cross multiply
    23,422.56x = 32,314.05 × 14,923.16
  4. Step 4: Simplify right side
    23,422.56x = 482,227,819.18
  5. Step 5: Solve for x
    x = 482,227,819.18/23,422.56
  6. Step 6: Final answer
    x = 20,588.18

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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.