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Finding the Fourth Proportional to 13,878.34, 19,134.03 and 10,102.12

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Solution

The fourth proportional to 13,878.34, 19,134.03 and 10,102.12 is: 13,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.34 : 19,134.03 = 10,102.12 : x
  2. Step 2: Convert to fraction form
    13,878.34/19,134.03 = 10,102.12/x
  3. Step 3: Cross multiply
    13,878.34x = 19,134.03 × 10,102.12
  4. Step 4: Simplify right side
    13,878.34x = 193,294,267.14
  5. Step 5: Solve for x
    x = 193,294,267.14/13,878.34
  6. Step 6: Final answer
    x = 13,927.77

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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.