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Finding the Fourth Proportional to 12,913.14, 19,343.91 and 9,914.58

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Solution

The fourth proportional to 12,913.14, 19,343.91 and 9,914.58 is: 14,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.14 : 19,343.91 = 9,914.58 : x
  2. Step 2: Convert to fraction form
    12,913.14/19,343.91 = 9,914.58/x
  3. Step 3: Cross multiply
    12,913.14x = 19,343.91 × 9,914.58
  4. Step 4: Simplify right side
    12,913.14x = 191,786,743.21
  5. Step 5: Solve for x
    x = 191,786,743.21/12,913.14
  6. Step 6: Final answer
    x = 14,852.06

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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.