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Finding the Fourth Proportional to 14,743.70, 20,332.97 and 9,706.05

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Solution

The fourth proportional to 14,743.70, 20,332.97 and 9,706.05 is: 13,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.70 : 20,332.97 = 9,706.05 : x
  2. Step 2: Convert to fraction form
    14,743.70/20,332.97 = 9,706.05/x
  3. Step 3: Cross multiply
    14,743.70x = 20,332.97 × 9,706.05
  4. Step 4: Simplify right side
    14,743.70x = 197,352,774.94
  5. Step 5: Solve for x
    x = 197,352,774.94/14,743.70
  6. Step 6: Final answer
    x = 13,385.57

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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.