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Finding the Fourth Proportional to 22,203.12, 30,617.28 and 17,950.08

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Solution

The fourth proportional to 22,203.12, 30,617.28 and 17,950.08 is: 24,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,203.12 : 30,617.28 = 17,950.08 : x
  2. Step 2: Convert to fraction form
    22,203.12/30,617.28 = 17,950.08/x
  3. Step 3: Cross multiply
    22,203.12x = 30,617.28 × 17,950.08
  4. Step 4: Simplify right side
    22,203.12x = 549,582,625.38
  5. Step 5: Solve for x
    x = 549,582,625.38/22,203.12
  6. Step 6: Final answer
    x = 24,752.50

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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.