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Finding the Fourth Proportional to 19,651.32, 29,470.56 and 6,500.40

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Solution

The fourth proportional to 19,651.32, 29,470.56 and 6,500.40 is: 9,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.32 : 29,470.56 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    19,651.32/29,470.56 = 6,500.40/x
  3. Step 3: Cross multiply
    19,651.32x = 29,470.56 × 6,500.40
  4. Step 4: Simplify right side
    19,651.32x = 191,570,428.22
  5. Step 5: Solve for x
    x = 191,570,428.22/19,651.32
  6. Step 6: Final answer
    x = 9,748.48

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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.