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Finding the Fourth Proportional to 21,049.64, 31,575 and 9,961.52

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Solution

The fourth proportional to 21,049.64, 31,575 and 9,961.52 is: 14,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.64 : 31,575 = 9,961.52 : x
  2. Step 2: Convert to fraction form
    21,049.64/31,575 = 9,961.52/x
  3. Step 3: Cross multiply
    21,049.64x = 31,575 × 9,961.52
  4. Step 4: Simplify right side
    21,049.64x = 314,534,994
  5. Step 5: Solve for x
    x = 314,534,994/21,049.64
  6. Step 6: Final answer
    x = 14,942.54

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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.