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Finding the Fourth Proportional to 12,535.22, 17,298.63 and 6,946.22

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Solution

The fourth proportional to 12,535.22, 17,298.63 and 6,946.22 is: 9,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.22 : 17,298.63 = 6,946.22 : x
  2. Step 2: Convert to fraction form
    12,535.22/17,298.63 = 6,946.22/x
  3. Step 3: Cross multiply
    12,535.22x = 17,298.63 × 6,946.22
  4. Step 4: Simplify right side
    12,535.22x = 120,160,089.68
  5. Step 5: Solve for x
    x = 120,160,089.68/12,535.22
  6. Step 6: Final answer
    x = 9,585.80

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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.