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Finding the Fourth Proportional to 23,111.01, 31,892.40 and 13,039.74

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Solution

The fourth proportional to 23,111.01, 31,892.40 and 13,039.74 is: 17,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.01 : 31,892.40 = 13,039.74 : x
  2. Step 2: Convert to fraction form
    23,111.01/31,892.40 = 13,039.74/x
  3. Step 3: Cross multiply
    23,111.01x = 31,892.40 × 13,039.74
  4. Step 4: Simplify right side
    23,111.01x = 415,868,603.98
  5. Step 5: Solve for x
    x = 415,868,603.98/23,111.01
  6. Step 6: Final answer
    x = 17,994.39

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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.