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Finding the Fourth Proportional to 16,348.59, 22,558.37 and 10,297.89

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Solution

The fourth proportional to 16,348.59, 22,558.37 and 10,297.89 is: 14,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.59 : 22,558.37 = 10,297.89 : x
  2. Step 2: Convert to fraction form
    16,348.59/22,558.37 = 10,297.89/x
  3. Step 3: Cross multiply
    16,348.59x = 22,558.37 × 10,297.89
  4. Step 4: Simplify right side
    16,348.59x = 232,303,561.35
  5. Step 5: Solve for x
    x = 232,303,561.35/16,348.59
  6. Step 6: Final answer
    x = 14,209.39

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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.