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Finding the Fourth Proportional to 16,135.71, 22,264.67 and 10,085.24

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Solution

The fourth proportional to 16,135.71, 22,264.67 and 10,085.24 is: 13,915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.71 : 22,264.67 = 10,085.24 : x
  2. Step 2: Convert to fraction form
    16,135.71/22,264.67 = 10,085.24/x
  3. Step 3: Cross multiply
    16,135.71x = 22,264.67 × 10,085.24
  4. Step 4: Simplify right side
    16,135.71x = 224,544,378.72
  5. Step 5: Solve for x
    x = 224,544,378.72/16,135.71
  6. Step 6: Final answer
    x = 13,915.99

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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.