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Finding the Fourth Proportional to 14,671.13, 22,010.74 and 4,282.88

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Solution

The fourth proportional to 14,671.13, 22,010.74 and 4,282.88 is: 6,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.13 : 22,010.74 = 4,282.88 : x
  2. Step 2: Convert to fraction form
    14,671.13/22,010.74 = 4,282.88/x
  3. Step 3: Cross multiply
    14,671.13x = 22,010.74 × 4,282.88
  4. Step 4: Simplify right side
    14,671.13x = 94,269,237.37
  5. Step 5: Solve for x
    x = 94,269,237.37/14,671.13
  6. Step 6: Final answer
    x = 6,425.49

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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.