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Finding the Fourth Proportional to 13,410.47, 20,110.84 and 6,011.12

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Solution

The fourth proportional to 13,410.47, 20,110.84 and 6,011.12 is: 9,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.47 : 20,110.84 = 6,011.12 : x
  2. Step 2: Convert to fraction form
    13,410.47/20,110.84 = 6,011.12/x
  3. Step 3: Cross multiply
    13,410.47x = 20,110.84 × 6,011.12
  4. Step 4: Simplify right side
    13,410.47x = 120,888,666.19
  5. Step 5: Solve for x
    x = 120,888,666.19/13,410.47
  6. Step 6: Final answer
    x = 9,014.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.