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Finding the Fourth Proportional to 14,529.32, 21,797.43 and 7,872.47

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Solution

The fourth proportional to 14,529.32, 21,797.43 and 7,872.47 is: 11,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.32 : 21,797.43 = 7,872.47 : x
  2. Step 2: Convert to fraction form
    14,529.32/21,797.43 = 7,872.47/x
  3. Step 3: Cross multiply
    14,529.32x = 21,797.43 × 7,872.47
  4. Step 4: Simplify right side
    14,529.32x = 171,599,613.75
  5. Step 5: Solve for x
    x = 171,599,613.75/14,529.32
  6. Step 6: Final answer
    x = 11,810.57

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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.