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Finding the Fourth Proportional to 23,901.48, 32,983.02 and 13,829.40

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Solution

The fourth proportional to 23,901.48, 32,983.02 and 13,829.40 is: 19,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.48 : 32,983.02 = 13,829.40 : x
  2. Step 2: Convert to fraction form
    23,901.48/32,983.02 = 13,829.40/x
  3. Step 3: Cross multiply
    23,901.48x = 32,983.02 × 13,829.40
  4. Step 4: Simplify right side
    23,901.48x = 456,135,376.79
  5. Step 5: Solve for x
    x = 456,135,376.79/23,901.48
  6. Step 6: Final answer
    x = 19,083.98

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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.