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Finding the Fourth Proportional to 19,641.60, 29,464.80 and 6,490.40

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Solution

The fourth proportional to 19,641.60, 29,464.80 and 6,490.40 is: 9,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.60 : 29,464.80 = 6,490.40 : x
  2. Step 2: Convert to fraction form
    19,641.60/29,464.80 = 6,490.40/x
  3. Step 3: Cross multiply
    19,641.60x = 29,464.80 × 6,490.40
  4. Step 4: Simplify right side
    19,641.60x = 191,238,337.92
  5. Step 5: Solve for x
    x = 191,238,337.92/19,641.60
  6. Step 6: Final answer
    x = 9,736.39

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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.