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Finding the Fourth Proportional to 19,413.28, 29,102.64 and 9,019.36

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Solution

The fourth proportional to 19,413.28, 29,102.64 and 9,019.36 is: 13,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.28 : 29,102.64 = 9,019.36 : x
  2. Step 2: Convert to fraction form
    19,413.28/29,102.64 = 9,019.36/x
  3. Step 3: Cross multiply
    19,413.28x = 29,102.64 × 9,019.36
  4. Step 4: Simplify right side
    19,413.28x = 262,487,187.11
  5. Step 5: Solve for x
    x = 262,487,187.11/19,413.28
  6. Step 6: Final answer
    x = 13,521.01

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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.