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Finding the Fourth Proportional to 21,244.64, 31,866.95 and 10,117.59

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Solution

The fourth proportional to 21,244.64, 31,866.95 and 10,117.59 is: 15,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244.64 : 31,866.95 = 10,117.59 : x
  2. Step 2: Convert to fraction form
    21,244.64/31,866.95 = 10,117.59/x
  3. Step 3: Cross multiply
    21,244.64x = 31,866.95 × 10,117.59
  4. Step 4: Simplify right side
    21,244.64x = 322,416,640.44
  5. Step 5: Solve for x
    x = 322,416,640.44/21,244.64
  6. Step 6: Final answer
    x = 15,176.38

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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.