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Finding the Fourth Proportional to 14,634.76, 21,957.07 and 4,641.14

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Solution

The fourth proportional to 14,634.76, 21,957.07 and 4,641.14 is: 6,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.76 : 21,957.07 = 4,641.14 : x
  2. Step 2: Convert to fraction form
    14,634.76/21,957.07 = 4,641.14/x
  3. Step 3: Cross multiply
    14,634.76x = 21,957.07 × 4,641.14
  4. Step 4: Simplify right side
    14,634.76x = 101,905,835.86
  5. Step 5: Solve for x
    x = 101,905,835.86/14,634.76
  6. Step 6: Final answer
    x = 6,963.27

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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.