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Finding the Fourth Proportional to 19,415.13, 29,078.94 and 13,597.71

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Solution

The fourth proportional to 19,415.13, 29,078.94 and 13,597.71 is: 20,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415.13 : 29,078.94 = 13,597.71 : x
  2. Step 2: Convert to fraction form
    19,415.13/29,078.94 = 13,597.71/x
  3. Step 3: Cross multiply
    19,415.13x = 29,078.94 × 13,597.71
  4. Step 4: Simplify right side
    19,415.13x = 395,406,993.23
  5. Step 5: Solve for x
    x = 395,406,993.23/19,415.13
  6. Step 6: Final answer
    x = 20,365.92

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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.