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Finding the Fourth Proportional to 14,493.80, 21,740.70 and 5,725.16

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Solution

The fourth proportional to 14,493.80, 21,740.70 and 5,725.16 is: 8,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.80 : 21,740.70 = 5,725.16 : x
  2. Step 2: Convert to fraction form
    14,493.80/21,740.70 = 5,725.16/x
  3. Step 3: Cross multiply
    14,493.80x = 21,740.70 × 5,725.16
  4. Step 4: Simplify right side
    14,493.80x = 124,468,986.01
  5. Step 5: Solve for x
    x = 124,468,986.01/14,493.80
  6. Step 6: Final answer
    x = 8,587.74

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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.