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Finding the Fourth Proportional to 12,298.05, 16,966.49 and 7,574.13

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Solution

The fourth proportional to 12,298.05, 16,966.49 and 7,574.13 is: 10,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.05 : 16,966.49 = 7,574.13 : x
  2. Step 2: Convert to fraction form
    12,298.05/16,966.49 = 7,574.13/x
  3. Step 3: Cross multiply
    12,298.05x = 16,966.49 × 7,574.13
  4. Step 4: Simplify right side
    12,298.05x = 128,506,363.03
  5. Step 5: Solve for x
    x = 128,506,363.03/12,298.05
  6. Step 6: Final answer
    x = 10,449.33

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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.