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Finding the Fourth Proportional to 23,653.35, 32,641.97 and 13,042.98

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Solution

The fourth proportional to 23,653.35, 32,641.97 and 13,042.98 is: 17,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.35 : 32,641.97 = 13,042.98 : x
  2. Step 2: Convert to fraction form
    23,653.35/32,641.97 = 13,042.98/x
  3. Step 3: Cross multiply
    23,653.35x = 32,641.97 × 13,042.98
  4. Step 4: Simplify right side
    23,653.35x = 425,748,496.66
  5. Step 5: Solve for x
    x = 425,748,496.66/23,653.35
  6. Step 6: Final answer
    x = 17,999.50

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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.