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Finding the Fourth Proportional to 15,298.68, 22,946.19 and 4,206.49

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Solution

The fourth proportional to 15,298.68, 22,946.19 and 4,206.49 is: 6,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.68 : 22,946.19 = 4,206.49 : x
  2. Step 2: Convert to fraction form
    15,298.68/22,946.19 = 4,206.49/x
  3. Step 3: Cross multiply
    15,298.68x = 22,946.19 × 4,206.49
  4. Step 4: Simplify right side
    15,298.68x = 96,522,918.77
  5. Step 5: Solve for x
    x = 96,522,918.77/15,298.68
  6. Step 6: Final answer
    x = 6,309.23

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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.