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Finding the Fourth Proportional to 21,895.30, 32,830.80 and 9,413.20

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Solution

The fourth proportional to 21,895.30, 32,830.80 and 9,413.20 is: 14,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.30 : 32,830.80 = 9,413.20 : x
  2. Step 2: Convert to fraction form
    21,895.30/32,830.80 = 9,413.20/x
  3. Step 3: Cross multiply
    21,895.30x = 32,830.80 × 9,413.20
  4. Step 4: Simplify right side
    21,895.30x = 309,042,886.56
  5. Step 5: Solve for x
    x = 309,042,886.56/21,895.30
  6. Step 6: Final answer
    x = 14,114.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.