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Finding the Fourth Proportional to 19,424, 26,805.12 and 10,592

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Solution

The fourth proportional to 19,424, 26,805.12 and 10,592 is: 14,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 26,805.12 = 10,592 : x
  2. Step 2: Convert to fraction form
    19,424/26,805.12 = 10,592/x
  3. Step 3: Cross multiply
    19,424x = 26,805.12 × 10,592
  4. Step 4: Simplify right side
    19,424x = 283,919,831.04
  5. Step 5: Solve for x
    x = 283,919,831.04/19,424
  6. Step 6: Final answer
    x = 14,616.96

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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.