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Finding the Fourth Proportional to 22,402.57, 33,603.95 and 9,075.82

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Solution

The fourth proportional to 22,402.57, 33,603.95 and 9,075.82 is: 13,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.57 : 33,603.95 = 9,075.82 : x
  2. Step 2: Convert to fraction form
    22,402.57/33,603.95 = 9,075.82/x
  3. Step 3: Cross multiply
    22,402.57x = 33,603.95 × 9,075.82
  4. Step 4: Simplify right side
    22,402.57x = 304,983,555.81
  5. Step 5: Solve for x
    x = 304,983,555.81/22,402.57
  6. Step 6: Final answer
    x = 13,613.77

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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.