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Finding the Fourth Proportional to 21,264.18, 29,369.16 and 14,178.30

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Solution

The fourth proportional to 21,264.18, 29,369.16 and 14,178.30 is: 19,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.18 : 29,369.16 = 14,178.30 : x
  2. Step 2: Convert to fraction form
    21,264.18/29,369.16 = 14,178.30/x
  3. Step 3: Cross multiply
    21,264.18x = 29,369.16 × 14,178.30
  4. Step 4: Simplify right side
    21,264.18x = 416,404,761.23
  5. Step 5: Solve for x
    x = 416,404,761.23/21,264.18
  6. Step 6: Final answer
    x = 19,582.45

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Why These Related Problems?

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