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Finding the Fourth Proportional to 14,442.61, 19,927.38 and 8,389.25

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Solution

The fourth proportional to 14,442.61, 19,927.38 and 8,389.25 is: 11,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.61 : 19,927.38 = 8,389.25 : x
  2. Step 2: Convert to fraction form
    14,442.61/19,927.38 = 8,389.25/x
  3. Step 3: Cross multiply
    14,442.61x = 19,927.38 × 8,389.25
  4. Step 4: Simplify right side
    14,442.61x = 167,175,891.31
  5. Step 5: Solve for x
    x = 167,175,891.31/14,442.61
  6. Step 6: Final answer
    x = 11,575.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.