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Finding the Fourth Proportional to 13,364.66, 18,445.19 and 7,698.31

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Solution

The fourth proportional to 13,364.66, 18,445.19 and 7,698.31 is: 10,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.66 : 18,445.19 = 7,698.31 : x
  2. Step 2: Convert to fraction form
    13,364.66/18,445.19 = 7,698.31/x
  3. Step 3: Cross multiply
    13,364.66x = 18,445.19 × 7,698.31
  4. Step 4: Simplify right side
    13,364.66x = 141,996,706.02
  5. Step 5: Solve for x
    x = 141,996,706.02/13,364.66
  6. Step 6: Final answer
    x = 10,624.79

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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.