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Finding the Fourth Proportional to 11,368.95, 16,976.71 and 9,293.01

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Solution

The fourth proportional to 11,368.95, 16,976.71 and 9,293.01 is: 13,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.95 : 16,976.71 = 9,293.01 : x
  2. Step 2: Convert to fraction form
    11,368.95/16,976.71 = 9,293.01/x
  3. Step 3: Cross multiply
    11,368.95x = 16,976.71 × 9,293.01
  4. Step 4: Simplify right side
    11,368.95x = 157,764,712.56
  5. Step 5: Solve for x
    x = 157,764,712.56/11,368.95
  6. Step 6: Final answer
    x = 13,876.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.