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Finding the Fourth Proportional to 13,053.65, 18,014.64 and 8,016.87

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Solution

The fourth proportional to 13,053.65, 18,014.64 and 8,016.87 is: 11,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.65 : 18,014.64 = 8,016.87 : x
  2. Step 2: Convert to fraction form
    13,053.65/18,014.64 = 8,016.87/x
  3. Step 3: Cross multiply
    13,053.65x = 18,014.64 × 8,016.87
  4. Step 4: Simplify right side
    13,053.65x = 144,421,026.98
  5. Step 5: Solve for x
    x = 144,421,026.98/13,053.65
  6. Step 6: Final answer
    x = 11,063.65

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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.