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Finding the Fourth Proportional to 16,263.25, 22,430.90 and 13,998.44

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Solution

The fourth proportional to 16,263.25, 22,430.90 and 13,998.44 is: 19,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.25 : 22,430.90 = 13,998.44 : x
  2. Step 2: Convert to fraction form
    16,263.25/22,430.90 = 13,998.44/x
  3. Step 3: Cross multiply
    16,263.25x = 22,430.90 × 13,998.44
  4. Step 4: Simplify right side
    16,263.25x = 313,997,646.38
  5. Step 5: Solve for x
    x = 313,997,646.38/16,263.25
  6. Step 6: Final answer
    x = 19,307.19

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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.