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Finding the Fourth Proportional to 16,242.39, 22,400.46 and 10,575

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Solution

The fourth proportional to 16,242.39, 22,400.46 and 10,575 is: 14,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.39 : 22,400.46 = 10,575 : x
  2. Step 2: Convert to fraction form
    16,242.39/22,400.46 = 10,575/x
  3. Step 3: Cross multiply
    16,242.39x = 22,400.46 × 10,575
  4. Step 4: Simplify right side
    16,242.39x = 236,884,864.50
  5. Step 5: Solve for x
    x = 236,884,864.50/16,242.39
  6. Step 6: Final answer
    x = 14,584.36

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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.