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Finding the Fourth Proportional to 14,305.23, 19,740.92 and 8,017.47

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Solution

The fourth proportional to 14,305.23, 19,740.92 and 8,017.47 is: 11,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.23 : 19,740.92 = 8,017.47 : x
  2. Step 2: Convert to fraction form
    14,305.23/19,740.92 = 8,017.47/x
  3. Step 3: Cross multiply
    14,305.23x = 19,740.92 × 8,017.47
  4. Step 4: Simplify right side
    14,305.23x = 158,272,193.79
  5. Step 5: Solve for x
    x = 158,272,193.79/14,305.23
  6. Step 6: Final answer
    x = 11,063.94

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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.