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Finding the Fourth Proportional to 14,231.07, 19,638.54 and 8,262.57

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Solution

The fourth proportional to 14,231.07, 19,638.54 and 8,262.57 is: 11,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.07 : 19,638.54 = 8,262.57 : x
  2. Step 2: Convert to fraction form
    14,231.07/19,638.54 = 8,262.57/x
  3. Step 3: Cross multiply
    14,231.07x = 19,638.54 × 8,262.57
  4. Step 4: Simplify right side
    14,231.07x = 162,264,811.45
  5. Step 5: Solve for x
    x = 162,264,811.45/14,231.07
  6. Step 6: Final answer
    x = 11,402.15

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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.