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Finding the Fourth Proportional to 23,505, 32,437.86 and 13,569

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Solution

The fourth proportional to 23,505, 32,437.86 and 13,569 is: 18,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505 : 32,437.86 = 13,569 : x
  2. Step 2: Convert to fraction form
    23,505/32,437.86 = 13,569/x
  3. Step 3: Cross multiply
    23,505x = 32,437.86 × 13,569
  4. Step 4: Simplify right side
    23,505x = 440,149,322.34
  5. Step 5: Solve for x
    x = 440,149,322.34/23,505
  6. Step 6: Final answer
    x = 18,725.77

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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.