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Finding the Fourth Proportional to 19,346.66, 29,015.64 and 9,476

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Solution

The fourth proportional to 19,346.66, 29,015.64 and 9,476 is: 14,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346.66 : 29,015.64 = 9,476 : x
  2. Step 2: Convert to fraction form
    19,346.66/29,015.64 = 9,476/x
  3. Step 3: Cross multiply
    19,346.66x = 29,015.64 × 9,476
  4. Step 4: Simplify right side
    19,346.66x = 274,952,204.64
  5. Step 5: Solve for x
    x = 274,952,204.64/19,346.66
  6. Step 6: Final answer
    x = 14,211.87

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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.