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Finding the Fourth Proportional to 13,070.38, 18,037.16 and 7,406.18

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Solution

The fourth proportional to 13,070.38, 18,037.16 and 7,406.18 is: 10,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.38 : 18,037.16 = 7,406.18 : x
  2. Step 2: Convert to fraction form
    13,070.38/18,037.16 = 7,406.18/x
  3. Step 3: Cross multiply
    13,070.38x = 18,037.16 × 7,406.18
  4. Step 4: Simplify right side
    13,070.38x = 133,586,381.98
  5. Step 5: Solve for x
    x = 133,586,381.98/13,070.38
  6. Step 6: Final answer
    x = 10,220.55

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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.