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Finding the Fourth Proportional to 13,465.65, 20,185.70 and 4,698.21

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Solution

The fourth proportional to 13,465.65, 20,185.70 and 4,698.21 is: 7,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.65 : 20,185.70 = 4,698.21 : x
  2. Step 2: Convert to fraction form
    13,465.65/20,185.70 = 4,698.21/x
  3. Step 3: Cross multiply
    13,465.65x = 20,185.70 × 4,698.21
  4. Step 4: Simplify right side
    13,465.65x = 94,836,634.11
  5. Step 5: Solve for x
    x = 94,836,634.11/13,465.65
  6. Step 6: Final answer
    x = 7,042.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.