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Finding the Fourth Proportional to 12,535.20, 17,298.54 and 6,946.20

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Solution

The fourth proportional to 12,535.20, 17,298.54 and 6,946.20 is: 9,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.20 : 17,298.54 = 6,946.20 : x
  2. Step 2: Convert to fraction form
    12,535.20/17,298.54 = 6,946.20/x
  3. Step 3: Cross multiply
    12,535.20x = 17,298.54 × 6,946.20
  4. Step 4: Simplify right side
    12,535.20x = 120,159,118.55
  5. Step 5: Solve for x
    x = 120,159,118.55/12,535.20
  6. Step 6: Final answer
    x = 9,585.74

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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.