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Finding the Fourth Proportional to 21,413.14, 32,111.73 and 7,369.24

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Solution

The fourth proportional to 21,413.14, 32,111.73 and 7,369.24 is: 11,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.14 : 32,111.73 = 7,369.24 : x
  2. Step 2: Convert to fraction form
    21,413.14/32,111.73 = 7,369.24/x
  3. Step 3: Cross multiply
    21,413.14x = 32,111.73 × 7,369.24
  4. Step 4: Simplify right side
    21,413.14x = 236,639,045.19
  5. Step 5: Solve for x
    x = 236,639,045.19/21,413.14
  6. Step 6: Final answer
    x = 11,051.11

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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.