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Finding the Fourth Proportional to 14,412.80, 21,616.47 and 6,098.63

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Solution

The fourth proportional to 14,412.80, 21,616.47 and 6,098.63 is: 9,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.80 : 21,616.47 = 6,098.63 : x
  2. Step 2: Convert to fraction form
    14,412.80/21,616.47 = 6,098.63/x
  3. Step 3: Cross multiply
    14,412.80x = 21,616.47 × 6,098.63
  4. Step 4: Simplify right side
    14,412.80x = 131,830,744.35
  5. Step 5: Solve for x
    x = 131,830,744.35/14,412.80
  6. Step 6: Final answer
    x = 9,146.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.