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Finding the Fourth Proportional to 14,238.74, 21,357.50 and 4,377.60

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Solution

The fourth proportional to 14,238.74, 21,357.50 and 4,377.60 is: 6,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.74 : 21,357.50 = 4,377.60 : x
  2. Step 2: Convert to fraction form
    14,238.74/21,357.50 = 4,377.60/x
  3. Step 3: Cross multiply
    14,238.74x = 21,357.50 × 4,377.60
  4. Step 4: Simplify right side
    14,238.74x = 93,494,570.11
  5. Step 5: Solve for x
    x = 93,494,570.11/14,238.74
  6. Step 6: Final answer
    x = 6,566.21

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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.