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Finding the Fourth Proportional to 14,101.14, 19,460.21 and 7,813.11

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Solution

The fourth proportional to 14,101.14, 19,460.21 and 7,813.11 is: 10,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.14 : 19,460.21 = 7,813.11 : x
  2. Step 2: Convert to fraction form
    14,101.14/19,460.21 = 7,813.11/x
  3. Step 3: Cross multiply
    14,101.14x = 19,460.21 × 7,813.11
  4. Step 4: Simplify right side
    14,101.14x = 152,044,722.29
  5. Step 5: Solve for x
    x = 152,044,722.29/14,101.14
  6. Step 6: Final answer
    x = 10,782.44

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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.