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Finding the Fourth Proportional to 19,646.49, 29,458.97 and 7,788.25

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Solution

The fourth proportional to 19,646.49, 29,458.97 and 7,788.25 is: 11,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.49 : 29,458.97 = 7,788.25 : x
  2. Step 2: Convert to fraction form
    19,646.49/29,458.97 = 7,788.25/x
  3. Step 3: Cross multiply
    19,646.49x = 29,458.97 × 7,788.25
  4. Step 4: Simplify right side
    19,646.49x = 229,433,784.16
  5. Step 5: Solve for x
    x = 229,433,784.16/19,646.49
  6. Step 6: Final answer
    x = 11,678.11

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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.