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Finding the Fourth Proportional to 21,907.24, 32,857.62 and 8,053

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Solution

The fourth proportional to 21,907.24, 32,857.62 and 8,053 is: 12,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.24 : 32,857.62 = 8,053 : x
  2. Step 2: Convert to fraction form
    21,907.24/32,857.62 = 8,053/x
  3. Step 3: Cross multiply
    21,907.24x = 32,857.62 × 8,053
  4. Step 4: Simplify right side
    21,907.24x = 264,602,413.86
  5. Step 5: Solve for x
    x = 264,602,413.86/21,907.24
  6. Step 6: Final answer
    x = 12,078.31

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1.5x scale

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.