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Finding the Fourth Proportional to 19,612.64, 29,422.60 and 6,465.94

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Solution

The fourth proportional to 19,612.64, 29,422.60 and 6,465.94 is: 9,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.64 : 29,422.60 = 6,465.94 : x
  2. Step 2: Convert to fraction form
    19,612.64/29,422.60 = 6,465.94/x
  3. Step 3: Cross multiply
    19,612.64x = 29,422.60 × 6,465.94
  4. Step 4: Simplify right side
    19,612.64x = 190,244,766.24
  5. Step 5: Solve for x
    x = 190,244,766.24/19,612.64
  6. Step 6: Final answer
    x = 9,700.11

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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.