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Finding the Fourth Proportional to 22,290.14, 33,417.93 and 9,969.50

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Solution

The fourth proportional to 22,290.14, 33,417.93 and 9,969.50 is: 14,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,290.14 : 33,417.93 = 9,969.50 : x
  2. Step 2: Convert to fraction form
    22,290.14/33,417.93 = 9,969.50/x
  3. Step 3: Cross multiply
    22,290.14x = 33,417.93 × 9,969.50
  4. Step 4: Simplify right side
    22,290.14x = 333,160,053.14
  5. Step 5: Solve for x
    x = 333,160,053.14/22,290.14
  6. Step 6: Final answer
    x = 14,946.52

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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.