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Finding the Fourth Proportional to 23,653.80, 32,642.46 and 13,043.16

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Solution

The fourth proportional to 23,653.80, 32,642.46 and 13,043.16 is: 17,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.80 : 32,642.46 = 13,043.16 : x
  2. Step 2: Convert to fraction form
    23,653.80/32,642.46 = 13,043.16/x
  3. Step 3: Cross multiply
    23,653.80x = 32,642.46 × 13,043.16
  4. Step 4: Simplify right side
    23,653.80x = 425,760,828.57
  5. Step 5: Solve for x
    x = 425,760,828.57/23,653.80
  6. Step 6: Final answer
    x = 17,999.68

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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.