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Finding the Fourth Proportional to 21,264.75, 31,897.40 and 7,413.75

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Solution

The fourth proportional to 21,264.75, 31,897.40 and 7,413.75 is: 11,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.75 : 31,897.40 = 7,413.75 : x
  2. Step 2: Convert to fraction form
    21,264.75/31,897.40 = 7,413.75/x
  3. Step 3: Cross multiply
    21,264.75x = 31,897.40 × 7,413.75
  4. Step 4: Simplify right side
    21,264.75x = 236,479,312.18
  5. Step 5: Solve for x
    x = 236,479,312.18/21,264.75
  6. Step 6: Final answer
    x = 11,120.72

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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.