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Finding the Fourth Proportional to 14,020.70, 19,348.71 and 7,733.66

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Solution

The fourth proportional to 14,020.70, 19,348.71 and 7,733.66 is: 10,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.70 : 19,348.71 = 7,733.66 : x
  2. Step 2: Convert to fraction form
    14,020.70/19,348.71 = 7,733.66/x
  3. Step 3: Cross multiply
    14,020.70x = 19,348.71 × 7,733.66
  4. Step 4: Simplify right side
    14,020.70x = 149,636,344.58
  5. Step 5: Solve for x
    x = 149,636,344.58/14,020.70
  6. Step 6: Final answer
    x = 10,672.53

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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.