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Finding the Fourth Proportional to 14,534.83, 21,809.44 and 5,769.55

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Solution

The fourth proportional to 14,534.83, 21,809.44 and 5,769.55 is: 8,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.83 : 21,809.44 = 5,769.55 : x
  2. Step 2: Convert to fraction form
    14,534.83/21,809.44 = 5,769.55/x
  3. Step 3: Cross multiply
    14,534.83x = 21,809.44 × 5,769.55
  4. Step 4: Simplify right side
    14,534.83x = 125,830,545.50
  5. Step 5: Solve for x
    x = 125,830,545.50/14,534.83
  6. Step 6: Final answer
    x = 8,657.18

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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.