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Finding the Fourth Proportional to 13,416.12, 18,501.36 and 8,037.71

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Solution

The fourth proportional to 13,416.12, 18,501.36 and 8,037.71 is: 11,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.12 : 18,501.36 = 8,037.71 : x
  2. Step 2: Convert to fraction form
    13,416.12/18,501.36 = 8,037.71/x
  3. Step 3: Cross multiply
    13,416.12x = 18,501.36 × 8,037.71
  4. Step 4: Simplify right side
    13,416.12x = 148,708,566.29
  5. Step 5: Solve for x
    x = 148,708,566.29/13,416.12
  6. Step 6: Final answer
    x = 11,084.32

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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.