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Finding the Fourth Proportional to 14,348.77, 19,798.23 and 8,377.73

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Solution

The fourth proportional to 14,348.77, 19,798.23 and 8,377.73 is: 11,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.77 : 19,798.23 = 8,377.73 : x
  2. Step 2: Convert to fraction form
    14,348.77/19,798.23 = 8,377.73/x
  3. Step 3: Cross multiply
    14,348.77x = 19,798.23 × 8,377.73
  4. Step 4: Simplify right side
    14,348.77x = 165,864,225.42
  5. Step 5: Solve for x
    x = 165,864,225.42/14,348.77
  6. Step 6: Final answer
    x = 11,559.47

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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.