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Finding the Fourth Proportional to 23,129.50, 31,919.34 and 14,051.77

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Solution

The fourth proportional to 23,129.50, 31,919.34 and 14,051.77 is: 19,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.50 : 31,919.34 = 14,051.77 : x
  2. Step 2: Convert to fraction form
    23,129.50/31,919.34 = 14,051.77/x
  3. Step 3: Cross multiply
    23,129.50x = 31,919.34 × 14,051.77
  4. Step 4: Simplify right side
    23,129.50x = 448,523,271.29
  5. Step 5: Solve for x
    x = 448,523,271.29/23,129.50
  6. Step 6: Final answer
    x = 19,391.83

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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.