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Finding the Fourth Proportional to 23,817.84, 32,867.54 and 13,748.08

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Solution

The fourth proportional to 23,817.84, 32,867.54 and 13,748.08 is: 18,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.84 : 32,867.54 = 13,748.08 : x
  2. Step 2: Convert to fraction form
    23,817.84/32,867.54 = 13,748.08/x
  3. Step 3: Cross multiply
    23,817.84x = 32,867.54 × 13,748.08
  4. Step 4: Simplify right side
    23,817.84x = 451,865,569.32
  5. Step 5: Solve for x
    x = 451,865,569.32/23,817.84
  6. Step 6: Final answer
    x = 18,971.73

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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.