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Finding the Fourth Proportional to 19,583, 27,024.54 and 11,199.50

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Solution

The fourth proportional to 19,583, 27,024.54 and 11,199.50 is: 15,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583 : 27,024.54 = 11,199.50 : x
  2. Step 2: Convert to fraction form
    19,583/27,024.54 = 11,199.50/x
  3. Step 3: Cross multiply
    19,583x = 27,024.54 × 11,199.50
  4. Step 4: Simplify right side
    19,583x = 302,661,335.73
  5. Step 5: Solve for x
    x = 302,661,335.73/19,583
  6. Step 6: Final answer
    x = 15,455.31

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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.