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Finding the Fourth Proportional to 23,653.74, 32,641.92 and 13,043.46

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Solution

The fourth proportional to 23,653.74, 32,641.92 and 13,043.46 is: 17,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.74 : 32,641.92 = 13,043.46 : x
  2. Step 2: Convert to fraction form
    23,653.74/32,641.92 = 13,043.46/x
  3. Step 3: Cross multiply
    23,653.74x = 32,641.92 × 13,043.46
  4. Step 4: Simplify right side
    23,653.74x = 425,763,577.84
  5. Step 5: Solve for x
    x = 425,763,577.84/23,653.74
  6. Step 6: Final answer
    x = 17,999.84

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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.