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Finding the Fourth Proportional to 23,046.02, 31,803.93 and 13,614.59

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Solution

The fourth proportional to 23,046.02, 31,803.93 and 13,614.59 is: 18,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.02 : 31,803.93 = 13,614.59 : x
  2. Step 2: Convert to fraction form
    23,046.02/31,803.93 = 13,614.59/x
  3. Step 3: Cross multiply
    23,046.02x = 31,803.93 × 13,614.59
  4. Step 4: Simplify right side
    23,046.02x = 432,997,308.32
  5. Step 5: Solve for x
    x = 432,997,308.32/23,046.02
  6. Step 6: Final answer
    x = 18,788.38

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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.