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Finding the Fourth Proportional to 12,416.42, 18,627.69 and 10,199.00

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Solution

The fourth proportional to 12,416.42, 18,627.69 and 10,199.00 is: 15,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.42 : 18,627.69 = 10,199.00 : x
  2. Step 2: Convert to fraction form
    12,416.42/18,627.69 = 10,199.00/x
  3. Step 3: Cross multiply
    12,416.42x = 18,627.69 × 10,199.00
  4. Step 4: Simplify right side
    12,416.42x = 189,983,717.17
  5. Step 5: Solve for x
    x = 189,983,717.17/12,416.42
  6. Step 6: Final answer
    x = 15,301.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.