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Finding the Fourth Proportional to 13,976.81, 19,287.83 and 10,407.74

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Solution

The fourth proportional to 13,976.81, 19,287.83 and 10,407.74 is: 14,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.81 : 19,287.83 = 10,407.74 : x
  2. Step 2: Convert to fraction form
    13,976.81/19,287.83 = 10,407.74/x
  3. Step 3: Cross multiply
    13,976.81x = 19,287.83 × 10,407.74
  4. Step 4: Simplify right side
    13,976.81x = 200,742,649.38
  5. Step 5: Solve for x
    x = 200,742,649.38/13,976.81
  6. Step 6: Final answer
    x = 14,362.55

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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.