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Finding the Fourth Proportional to 22,900.98, 31,587.58 and 16,109.41

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Solution

The fourth proportional to 22,900.98, 31,587.58 and 16,109.41 is: 22,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.98 : 31,587.58 = 16,109.41 : x
  2. Step 2: Convert to fraction form
    22,900.98/31,587.58 = 16,109.41/x
  3. Step 3: Cross multiply
    22,900.98x = 31,587.58 × 16,109.41
  4. Step 4: Simplify right side
    22,900.98x = 508,857,277.13
  5. Step 5: Solve for x
    x = 508,857,277.13/22,900.98
  6. Step 6: Final answer
    x = 22,219.89

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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.