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Finding the Fourth Proportional to 14,134.59, 21,184.47 and 5,809.41

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Solution

The fourth proportional to 14,134.59, 21,184.47 and 5,809.41 is: 8,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.59 : 21,184.47 = 5,809.41 : x
  2. Step 2: Convert to fraction form
    14,134.59/21,184.47 = 5,809.41/x
  3. Step 3: Cross multiply
    14,134.59x = 21,184.47 × 5,809.41
  4. Step 4: Simplify right side
    14,134.59x = 123,069,271.86
  5. Step 5: Solve for x
    x = 123,069,271.86/14,134.59
  6. Step 6: Final answer
    x = 8,706.96

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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.