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Finding the Fourth Proportional to 26,946.84, 40,426.02 and 9,417.24

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Solution

The fourth proportional to 26,946.84, 40,426.02 and 9,417.24 is: 14,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,946.84 : 40,426.02 = 9,417.24 : x
  2. Step 2: Convert to fraction form
    26,946.84/40,426.02 = 9,417.24/x
  3. Step 3: Cross multiply
    26,946.84x = 40,426.02 × 9,417.24
  4. Step 4: Simplify right side
    26,946.84x = 380,701,532.58
  5. Step 5: Solve for x
    x = 380,701,532.58/26,946.84
  6. Step 6: Final answer
    x = 14,127.87

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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.