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Finding the Fourth Proportional to 19,647.50, 27,113.55 and 10,815.50

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Solution

The fourth proportional to 19,647.50, 27,113.55 and 10,815.50 is: 14,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.50 : 27,113.55 = 10,815.50 : x
  2. Step 2: Convert to fraction form
    19,647.50/27,113.55 = 10,815.50/x
  3. Step 3: Cross multiply
    19,647.50x = 27,113.55 × 10,815.50
  4. Step 4: Simplify right side
    19,647.50x = 293,246,600.03
  5. Step 5: Solve for x
    x = 293,246,600.03/19,647.50
  6. Step 6: Final answer
    x = 14,925.39

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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.