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Finding the Fourth Proportional to 23,872.66, 32,945.34 and 13,263.28

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Solution

The fourth proportional to 23,872.66, 32,945.34 and 13,263.28 is: 18,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.66 : 32,945.34 = 13,263.28 : x
  2. Step 2: Convert to fraction form
    23,872.66/32,945.34 = 13,263.28/x
  3. Step 3: Cross multiply
    23,872.66x = 32,945.34 × 13,263.28
  4. Step 4: Simplify right side
    23,872.66x = 436,963,269.12
  5. Step 5: Solve for x
    x = 436,963,269.12/23,872.66
  6. Step 6: Final answer
    x = 18,303.92

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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.