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Finding the Fourth Proportional to 22,035.64, 30,412.02 and 12,604

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Solution

The fourth proportional to 22,035.64, 30,412.02 and 12,604 is: 17,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.64 : 30,412.02 = 12,604 : x
  2. Step 2: Convert to fraction form
    22,035.64/30,412.02 = 12,604/x
  3. Step 3: Cross multiply
    22,035.64x = 30,412.02 × 12,604
  4. Step 4: Simplify right side
    22,035.64x = 383,313,100.08
  5. Step 5: Solve for x
    x = 383,313,100.08/22,035.64
  6. Step 6: Final answer
    x = 17,395.14

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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.