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Finding the Fourth Proportional to 23,808.84, 35,713.64 and 9,024.72

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Solution

The fourth proportional to 23,808.84, 35,713.64 and 9,024.72 is: 13,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.84 : 35,713.64 = 9,024.72 : x
  2. Step 2: Convert to fraction form
    23,808.84/35,713.64 = 9,024.72/x
  3. Step 3: Cross multiply
    23,808.84x = 35,713.64 × 9,024.72
  4. Step 4: Simplify right side
    23,808.84x = 322,305,601.18
  5. Step 5: Solve for x
    x = 322,305,601.18/23,808.84
  6. Step 6: Final answer
    x = 13,537.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.