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Finding the Fourth Proportional to 29,897.84, 41,259.06 and 16,469.15

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Solution

The fourth proportional to 29,897.84, 41,259.06 and 16,469.15 is: 22,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.84 : 41,259.06 = 16,469.15 : x
  2. Step 2: Convert to fraction form
    29,897.84/41,259.06 = 16,469.15/x
  3. Step 3: Cross multiply
    29,897.84x = 41,259.06 × 16,469.15
  4. Step 4: Simplify right side
    29,897.84x = 679,501,441.70
  5. Step 5: Solve for x
    x = 679,501,441.70/29,897.84
  6. Step 6: Final answer
    x = 22,727.45

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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.