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Finding the Fourth Proportional to 14,408.25, 21,616.02 and 4,020

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Solution

The fourth proportional to 14,408.25, 21,616.02 and 4,020 is: 6,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.25 : 21,616.02 = 4,020 : x
  2. Step 2: Convert to fraction form
    14,408.25/21,616.02 = 4,020/x
  3. Step 3: Cross multiply
    14,408.25x = 21,616.02 × 4,020
  4. Step 4: Simplify right side
    14,408.25x = 86,896,400.40
  5. Step 5: Solve for x
    x = 86,896,400.40/14,408.25
  6. Step 6: Final answer
    x = 6,031.02

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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.