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Finding the Fourth Proportional to 16,402.53, 22,646.38 and 12,619.02

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Solution

The fourth proportional to 16,402.53, 22,646.38 and 12,619.02 is: 17,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.53 : 22,646.38 = 12,619.02 : x
  2. Step 2: Convert to fraction form
    16,402.53/22,646.38 = 12,619.02/x
  3. Step 3: Cross multiply
    16,402.53x = 22,646.38 × 12,619.02
  4. Step 4: Simplify right side
    16,402.53x = 285,775,008.92
  5. Step 5: Solve for x
    x = 285,775,008.92/16,402.53
  6. Step 6: Final answer
    x = 17,422.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.