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Finding the Fourth Proportional to 22,299.56, 30,776.52 and 13,804.39

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Solution

The fourth proportional to 22,299.56, 30,776.52 and 13,804.39 is: 19,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.56 : 30,776.52 = 13,804.39 : x
  2. Step 2: Convert to fraction form
    22,299.56/30,776.52 = 13,804.39/x
  3. Step 3: Cross multiply
    22,299.56x = 30,776.52 × 13,804.39
  4. Step 4: Simplify right side
    22,299.56x = 424,851,084.92
  5. Step 5: Solve for x
    x = 424,851,084.92/22,299.56
  6. Step 6: Final answer
    x = 19,051.99

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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.