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Finding the Fourth Proportional to 16,702.12, 22,996.47 and 14,179

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Solution

The fourth proportional to 16,702.12, 22,996.47 and 14,179 is: 19,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.12 : 22,996.47 = 14,179 : x
  2. Step 2: Convert to fraction form
    16,702.12/22,996.47 = 14,179/x
  3. Step 3: Cross multiply
    16,702.12x = 22,996.47 × 14,179
  4. Step 4: Simplify right side
    16,702.12x = 326,066,948.13
  5. Step 5: Solve for x
    x = 326,066,948.13/16,702.12
  6. Step 6: Final answer
    x = 19,522.49

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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.