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Finding the Fourth Proportional to 29,828.77, 41,146.54 and 17,885.17

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Solution

The fourth proportional to 29,828.77, 41,146.54 and 17,885.17 is: 24,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.77 : 41,146.54 = 17,885.17 : x
  2. Step 2: Convert to fraction form
    29,828.77/41,146.54 = 17,885.17/x
  3. Step 3: Cross multiply
    29,828.77x = 41,146.54 × 17,885.17
  4. Step 4: Simplify right side
    29,828.77x = 735,912,869.53
  5. Step 5: Solve for x
    x = 735,912,869.53/29,828.77
  6. Step 6: Final answer
    x = 24,671.25

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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.