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Finding the Fourth Proportional to 14,014.04, 19,340.34 and 8,047.40

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Solution

The fourth proportional to 14,014.04, 19,340.34 and 8,047.40 is: 11,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.04 : 19,340.34 = 8,047.40 : x
  2. Step 2: Convert to fraction form
    14,014.04/19,340.34 = 8,047.40/x
  3. Step 3: Cross multiply
    14,014.04x = 19,340.34 × 8,047.40
  4. Step 4: Simplify right side
    14,014.04x = 155,639,452.12
  5. Step 5: Solve for x
    x = 155,639,452.12/14,014.04
  6. Step 6: Final answer
    x = 11,105.97

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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.