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Finding the Fourth Proportional to 12,822, 19,225.62 and 5,026.56

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Solution

The fourth proportional to 12,822, 19,225.62 and 5,026.56 is: 7,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 19,225.62 = 5,026.56 : x
  2. Step 2: Convert to fraction form
    12,822/19,225.62 = 5,026.56/x
  3. Step 3: Cross multiply
    12,822x = 19,225.62 × 5,026.56
  4. Step 4: Simplify right side
    12,822x = 96,638,732.47
  5. Step 5: Solve for x
    x = 96,638,732.47/12,822
  6. Step 6: Final answer
    x = 7,536.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.