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Finding the Fourth Proportional to 23,797.56, 32,830.16 and 14,232.18

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Solution

The fourth proportional to 23,797.56, 32,830.16 and 14,232.18 is: 19,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.56 : 32,830.16 = 14,232.18 : x
  2. Step 2: Convert to fraction form
    23,797.56/32,830.16 = 14,232.18/x
  3. Step 3: Cross multiply
    23,797.56x = 32,830.16 × 14,232.18
  4. Step 4: Simplify right side
    23,797.56x = 467,244,746.55
  5. Step 5: Solve for x
    x = 467,244,746.55/23,797.56
  6. Step 6: Final answer
    x = 19,634.15

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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.