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Finding the Fourth Proportional to 22,307.69, 33,513.37 and 13,080.17

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Solution

The fourth proportional to 22,307.69, 33,513.37 and 13,080.17 is: 19,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.69 : 33,513.37 = 13,080.17 : x
  2. Step 2: Convert to fraction form
    22,307.69/33,513.37 = 13,080.17/x
  3. Step 3: Cross multiply
    22,307.69x = 33,513.37 × 13,080.17
  4. Step 4: Simplify right side
    22,307.69x = 438,360,376.61
  5. Step 5: Solve for x
    x = 438,360,376.61/22,307.69
  6. Step 6: Final answer
    x = 19,650.64

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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.