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Finding the Fourth Proportional to 23,187.86, 31,999.02 and 12,577.34

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Solution

The fourth proportional to 23,187.86, 31,999.02 and 12,577.34 is: 17,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.86 : 31,999.02 = 12,577.34 : x
  2. Step 2: Convert to fraction form
    23,187.86/31,999.02 = 12,577.34/x
  3. Step 3: Cross multiply
    23,187.86x = 31,999.02 × 12,577.34
  4. Step 4: Simplify right side
    23,187.86x = 402,462,554.21
  5. Step 5: Solve for x
    x = 402,462,554.21/23,187.86
  6. Step 6: Final answer
    x = 17,356.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.