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Finding the Fourth Proportional to 21,702.16, 29,940.17 and 14,145.84

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Solution

The fourth proportional to 21,702.16, 29,940.17 and 14,145.84 is: 19,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.16 : 29,940.17 = 14,145.84 : x
  2. Step 2: Convert to fraction form
    21,702.16/29,940.17 = 14,145.84/x
  3. Step 3: Cross multiply
    21,702.16x = 29,940.17 × 14,145.84
  4. Step 4: Simplify right side
    21,702.16x = 423,528,783.66
  5. Step 5: Solve for x
    x = 423,528,783.66/21,702.16
  6. Step 6: Final answer
    x = 19,515.51

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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.