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Finding the Fourth Proportional to 13,015.83, 19,530.63 and 7,096.98

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Solution

The fourth proportional to 13,015.83, 19,530.63 and 7,096.98 is: 10,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.83 : 19,530.63 = 7,096.98 : x
  2. Step 2: Convert to fraction form
    13,015.83/19,530.63 = 7,096.98/x
  3. Step 3: Cross multiply
    13,015.83x = 19,530.63 × 7,096.98
  4. Step 4: Simplify right side
    13,015.83x = 138,608,490.50
  5. Step 5: Solve for x
    x = 138,608,490.50/13,015.83
  6. Step 6: Final answer
    x = 10,649.22

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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.