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Finding the Fourth Proportional to 22,204.64, 30,642.72 and 12,643.40

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Solution

The fourth proportional to 22,204.64, 30,642.72 and 12,643.40 is: 17,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.64 : 30,642.72 = 12,643.40 : x
  2. Step 2: Convert to fraction form
    22,204.64/30,642.72 = 12,643.40/x
  3. Step 3: Cross multiply
    22,204.64x = 30,642.72 × 12,643.40
  4. Step 4: Simplify right side
    22,204.64x = 387,428,166.05
  5. Step 5: Solve for x
    x = 387,428,166.05/22,204.64
  6. Step 6: Final answer
    x = 17,448.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.