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Finding the Fourth Proportional to 14,103, 21,154.50 and 5,895

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Solution

The fourth proportional to 14,103, 21,154.50 and 5,895 is: 8,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 21,154.50 = 5,895 : x
  2. Step 2: Convert to fraction form
    14,103/21,154.50 = 5,895/x
  3. Step 3: Cross multiply
    14,103x = 21,154.50 × 5,895
  4. Step 4: Simplify right side
    14,103x = 124,705,777.50
  5. Step 5: Solve for x
    x = 124,705,777.50/14,103
  6. Step 6: Final answer
    x = 8,842.50

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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.