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Finding the Fourth Proportional to 14,657.83, 21,968.68 and 8,338.01

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Solution

The fourth proportional to 14,657.83, 21,968.68 and 8,338.01 is: 12,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.83 : 21,968.68 = 8,338.01 : x
  2. Step 2: Convert to fraction form
    14,657.83/21,968.68 = 8,338.01/x
  3. Step 3: Cross multiply
    14,657.83x = 21,968.68 × 8,338.01
  4. Step 4: Simplify right side
    14,657.83x = 183,175,073.53
  5. Step 5: Solve for x
    x = 183,175,073.53/14,657.83
  6. Step 6: Final answer
    x = 12,496.74

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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.