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Finding the Fourth Proportional to 21,930.64, 32,904.60 and 9,610

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Solution

The fourth proportional to 21,930.64, 32,904.60 and 9,610 is: 14,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.64 : 32,904.60 = 9,610 : x
  2. Step 2: Convert to fraction form
    21,930.64/32,904.60 = 9,610/x
  3. Step 3: Cross multiply
    21,930.64x = 32,904.60 × 9,610
  4. Step 4: Simplify right side
    21,930.64x = 316,213,206
  5. Step 5: Solve for x
    x = 316,213,206/21,930.64
  6. Step 6: Final answer
    x = 14,418.79

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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.