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Finding the Fourth Proportional to 23,203.42, 32,020.54 and 12,592.82

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Solution

The fourth proportional to 23,203.42, 32,020.54 and 12,592.82 is: 17,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.42 : 32,020.54 = 12,592.82 : x
  2. Step 2: Convert to fraction form
    23,203.42/32,020.54 = 12,592.82/x
  3. Step 3: Cross multiply
    23,203.42x = 32,020.54 × 12,592.82
  4. Step 4: Simplify right side
    23,203.42x = 403,228,945.09
  5. Step 5: Solve for x
    x = 403,228,945.09/23,203.42
  6. Step 6: Final answer
    x = 17,378.00

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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.