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Finding the Fourth Proportional to 23,653.32, 32,640.98 and 13,042.27

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Solution

The fourth proportional to 23,653.32, 32,640.98 and 13,042.27 is: 17,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.32 : 32,640.98 = 13,042.27 : x
  2. Step 2: Convert to fraction form
    23,653.32/32,640.98 = 13,042.27/x
  3. Step 3: Cross multiply
    23,653.32x = 32,640.98 × 13,042.27
  4. Step 4: Simplify right side
    23,653.32x = 425,712,266.21
  5. Step 5: Solve for x
    x = 425,712,266.21/23,653.32
  6. Step 6: Final answer
    x = 17,997.99

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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.