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Finding the Fourth Proportional to 17,859.78, 24,646.05 and 9,901.98

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Solution

The fourth proportional to 17,859.78, 24,646.05 and 9,901.98 is: 13,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.78 : 24,646.05 = 9,901.98 : x
  2. Step 2: Convert to fraction form
    17,859.78/24,646.05 = 9,901.98/x
  3. Step 3: Cross multiply
    17,859.78x = 24,646.05 × 9,901.98
  4. Step 4: Simplify right side
    17,859.78x = 244,044,694.18
  5. Step 5: Solve for x
    x = 244,044,694.18/17,859.78
  6. Step 6: Final answer
    x = 13,664.48

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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.