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Finding the Fourth Proportional to 13,158.78, 19,709.28 and 9,468.15

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Solution

The fourth proportional to 13,158.78, 19,709.28 and 9,468.15 is: 14,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.78 : 19,709.28 = 9,468.15 : x
  2. Step 2: Convert to fraction form
    13,158.78/19,709.28 = 9,468.15/x
  3. Step 3: Cross multiply
    13,158.78x = 19,709.28 × 9,468.15
  4. Step 4: Simplify right side
    13,158.78x = 186,610,419.43
  5. Step 5: Solve for x
    x = 186,610,419.43/13,158.78
  6. Step 6: Final answer
    x = 14,181.44

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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.