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Finding the Fourth Proportional to 14,341, 21,520.14 and 6,133

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Solution

The fourth proportional to 14,341, 21,520.14 and 6,133 is: 9,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341 : 21,520.14 = 6,133 : x
  2. Step 2: Convert to fraction form
    14,341/21,520.14 = 6,133/x
  3. Step 3: Cross multiply
    14,341x = 21,520.14 × 6,133
  4. Step 4: Simplify right side
    14,341x = 131,983,018.62
  5. Step 5: Solve for x
    x = 131,983,018.62/14,341
  6. Step 6: Final answer
    x = 9,203.19

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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.