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Finding the Fourth Proportional to 19,635.27, 29,431.48 and 9,646.89

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Solution

The fourth proportional to 19,635.27, 29,431.48 and 9,646.89 is: 14,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.27 : 29,431.48 = 9,646.89 : x
  2. Step 2: Convert to fraction form
    19,635.27/29,431.48 = 9,646.89/x
  3. Step 3: Cross multiply
    19,635.27x = 29,431.48 × 9,646.89
  4. Step 4: Simplify right side
    19,635.27x = 283,922,054.71
  5. Step 5: Solve for x
    x = 283,922,054.71/19,635.27
  6. Step 6: Final answer
    x = 14,459.80

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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.