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Finding the Fourth Proportional to 23,202, 32,005.08 and 13,770

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Solution

The fourth proportional to 23,202, 32,005.08 and 13,770 is: 18,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202 : 32,005.08 = 13,770 : x
  2. Step 2: Convert to fraction form
    23,202/32,005.08 = 13,770/x
  3. Step 3: Cross multiply
    23,202x = 32,005.08 × 13,770
  4. Step 4: Simplify right side
    23,202x = 440,709,951.60
  5. Step 5: Solve for x
    x = 440,709,951.60/23,202
  6. Step 6: Final answer
    x = 18,994.48

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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.