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Finding the Fourth Proportional to 14,188.14, 19,547.01 and 11,202.87

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Solution

The fourth proportional to 14,188.14, 19,547.01 and 11,202.87 is: 15,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.14 : 19,547.01 = 11,202.87 : x
  2. Step 2: Convert to fraction form
    14,188.14/19,547.01 = 11,202.87/x
  3. Step 3: Cross multiply
    14,188.14x = 19,547.01 × 11,202.87
  4. Step 4: Simplify right side
    14,188.14x = 218,982,611.92
  5. Step 5: Solve for x
    x = 218,982,611.92/14,188.14
  6. Step 6: Final answer
    x = 15,434.20

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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.