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Finding the Fourth Proportional to 19,646.14, 29,463.72 and 7,794.58

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Solution

The fourth proportional to 19,646.14, 29,463.72 and 7,794.58 is: 11,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.14 : 29,463.72 = 7,794.58 : x
  2. Step 2: Convert to fraction form
    19,646.14/29,463.72 = 7,794.58/x
  3. Step 3: Cross multiply
    19,646.14x = 29,463.72 × 7,794.58
  4. Step 4: Simplify right side
    19,646.14x = 229,657,322.64
  5. Step 5: Solve for x
    x = 229,657,322.64/19,646.14
  6. Step 6: Final answer
    x = 11,689.69

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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.