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Finding the Fourth Proportional to 21,678.52, 29,897.64 and 14,122

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Solution

The fourth proportional to 21,678.52, 29,897.64 and 14,122 is: 19,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.52 : 29,897.64 = 14,122 : x
  2. Step 2: Convert to fraction form
    21,678.52/29,897.64 = 14,122/x
  3. Step 3: Cross multiply
    21,678.52x = 29,897.64 × 14,122
  4. Step 4: Simplify right side
    21,678.52x = 422,214,472.08
  5. Step 5: Solve for x
    x = 422,214,472.08/21,678.52
  6. Step 6: Final answer
    x = 19,476.17

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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.