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Finding the Fourth Proportional to 14,707.19, 20,285.67 and 9,669.80

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Solution

The fourth proportional to 14,707.19, 20,285.67 and 9,669.80 is: 13,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.19 : 20,285.67 = 9,669.80 : x
  2. Step 2: Convert to fraction form
    14,707.19/20,285.67 = 9,669.80/x
  3. Step 3: Cross multiply
    14,707.19x = 20,285.67 × 9,669.80
  4. Step 4: Simplify right side
    14,707.19x = 196,158,422.48
  5. Step 5: Solve for x
    x = 196,158,422.48/14,707.19
  6. Step 6: Final answer
    x = 13,337.58

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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.