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Finding the Fourth Proportional to 19,646.34, 29,455.92 and 6,496.80

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Solution

The fourth proportional to 19,646.34, 29,455.92 and 6,496.80 is: 9,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.34 : 29,455.92 = 6,496.80 : x
  2. Step 2: Convert to fraction form
    19,646.34/29,455.92 = 6,496.80/x
  3. Step 3: Cross multiply
    19,646.34x = 29,455.92 × 6,496.80
  4. Step 4: Simplify right side
    19,646.34x = 191,369,221.06
  5. Step 5: Solve for x
    x = 191,369,221.06/19,646.34
  6. Step 6: Final answer
    x = 9,740.71

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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.