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Finding the Fourth Proportional to 14,340, 21,518.64 and 6,132

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Solution

The fourth proportional to 14,340, 21,518.64 and 6,132 is: 9,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 21,518.64 = 6,132 : x
  2. Step 2: Convert to fraction form
    14,340/21,518.64 = 6,132/x
  3. Step 3: Cross multiply
    14,340x = 21,518.64 × 6,132
  4. Step 4: Simplify right side
    14,340x = 131,952,300.48
  5. Step 5: Solve for x
    x = 131,952,300.48/14,340
  6. Step 6: Final answer
    x = 9,201.69

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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.