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Finding the Fourth Proportional to 12,102.27, 16,698.18 and 7,063.62

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Solution

The fourth proportional to 12,102.27, 16,698.18 and 7,063.62 is: 9,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.27 : 16,698.18 = 7,063.62 : x
  2. Step 2: Convert to fraction form
    12,102.27/16,698.18 = 7,063.62/x
  3. Step 3: Cross multiply
    12,102.27x = 16,698.18 × 7,063.62
  4. Step 4: Simplify right side
    12,102.27x = 117,949,598.21
  5. Step 5: Solve for x
    x = 117,949,598.21/12,102.27
  6. Step 6: Final answer
    x = 9,746.07

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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.