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Finding the Fourth Proportional to 14,524.16, 20,037.34 and 9,486.64

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Solution

The fourth proportional to 14,524.16, 20,037.34 and 9,486.64 is: 13,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.16 : 20,037.34 = 9,486.64 : x
  2. Step 2: Convert to fraction form
    14,524.16/20,037.34 = 9,486.64/x
  3. Step 3: Cross multiply
    14,524.16x = 20,037.34 × 9,486.64
  4. Step 4: Simplify right side
    14,524.16x = 190,087,031.14
  5. Step 5: Solve for x
    x = 190,087,031.14/14,524.16
  6. Step 6: Final answer
    x = 13,087.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.