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Finding the Fourth Proportional to 23,161.84, 31,963.90 and 14,204.16

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Solution

The fourth proportional to 23,161.84, 31,963.90 and 14,204.16 is: 19,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.84 : 31,963.90 = 14,204.16 : x
  2. Step 2: Convert to fraction form
    23,161.84/31,963.90 = 14,204.16/x
  3. Step 3: Cross multiply
    23,161.84x = 31,963.90 × 14,204.16
  4. Step 4: Simplify right side
    23,161.84x = 454,020,349.82
  5. Step 5: Solve for x
    x = 454,020,349.82/23,161.84
  6. Step 6: Final answer
    x = 19,602.08

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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.