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Finding the Fourth Proportional to 13,098.64, 18,070.78 and 8,061.34

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Solution

The fourth proportional to 13,098.64, 18,070.78 and 8,061.34 is: 11,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.64 : 18,070.78 = 8,061.34 : x
  2. Step 2: Convert to fraction form
    13,098.64/18,070.78 = 8,061.34/x
  3. Step 3: Cross multiply
    13,098.64x = 18,070.78 × 8,061.34
  4. Step 4: Simplify right side
    13,098.64x = 145,674,570.98
  5. Step 5: Solve for x
    x = 145,674,570.98/13,098.64
  6. Step 6: Final answer
    x = 11,121.36

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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.