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Finding the Fourth Proportional to 16,357.32, 22,580.70 and 9,640.68

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Solution

The fourth proportional to 16,357.32, 22,580.70 and 9,640.68 is: 13,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.32 : 22,580.70 = 9,640.68 : x
  2. Step 2: Convert to fraction form
    16,357.32/22,580.70 = 9,640.68/x
  3. Step 3: Cross multiply
    16,357.32x = 22,580.70 × 9,640.68
  4. Step 4: Simplify right side
    16,357.32x = 217,693,302.88
  5. Step 5: Solve for x
    x = 217,693,302.88/16,357.32
  6. Step 6: Final answer
    x = 13,308.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.