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Finding the Fourth Proportional to 29,897.98, 41,259.14 and 16,470.14

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Solution

The fourth proportional to 29,897.98, 41,259.14 and 16,470.14 is: 22,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897.98 : 41,259.14 = 16,470.14 : x
  2. Step 2: Convert to fraction form
    29,897.98/41,259.14 = 16,470.14/x
  3. Step 3: Cross multiply
    29,897.98x = 41,259.14 × 16,470.14
  4. Step 4: Simplify right side
    29,897.98x = 679,543,585.20
  5. Step 5: Solve for x
    x = 679,543,585.20/29,897.98
  6. Step 6: Final answer
    x = 22,728.75

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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.