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Finding the Fourth Proportional to 14,408.70, 21,613.53 and 4,019.58

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Solution

The fourth proportional to 14,408.70, 21,613.53 and 4,019.58 is: 6,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.70 : 21,613.53 = 4,019.58 : x
  2. Step 2: Convert to fraction form
    14,408.70/21,613.53 = 4,019.58/x
  3. Step 3: Cross multiply
    14,408.70x = 21,613.53 × 4,019.58
  4. Step 4: Simplify right side
    14,408.70x = 86,877,312.92
  5. Step 5: Solve for x
    x = 86,877,312.92/14,408.70
  6. Step 6: Final answer
    x = 6,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.