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Finding the Fourth Proportional to 14,282.34, 21,412.41 and 5,397.53

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Solution

The fourth proportional to 14,282.34, 21,412.41 and 5,397.53 is: 8,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.34 : 21,412.41 = 5,397.53 : x
  2. Step 2: Convert to fraction form
    14,282.34/21,412.41 = 5,397.53/x
  3. Step 3: Cross multiply
    14,282.34x = 21,412.41 × 5,397.53
  4. Step 4: Simplify right side
    14,282.34x = 115,574,018.29
  5. Step 5: Solve for x
    x = 115,574,018.29/14,282.34
  6. Step 6: Final answer
    x = 8,092.09

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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.