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Finding the Fourth Proportional to 21,458.64, 32,192.82 and 7,607.64

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Solution

The fourth proportional to 21,458.64, 32,192.82 and 7,607.64 is: 11,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.64 : 32,192.82 = 7,607.64 : x
  2. Step 2: Convert to fraction form
    21,458.64/32,192.82 = 7,607.64/x
  3. Step 3: Cross multiply
    21,458.64x = 32,192.82 × 7,607.64
  4. Step 4: Simplify right side
    21,458.64x = 244,911,385.14
  5. Step 5: Solve for x
    x = 244,911,385.14/21,458.64
  6. Step 6: Final answer
    x = 11,413.18

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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.