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Finding the Fourth Proportional to 22,979.84, 31,709.94 and 12,906

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Solution

The fourth proportional to 22,979.84, 31,709.94 and 12,906 is: 17,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,979.84 : 31,709.94 = 12,906 : x
  2. Step 2: Convert to fraction form
    22,979.84/31,709.94 = 12,906/x
  3. Step 3: Cross multiply
    22,979.84x = 31,709.94 × 12,906
  4. Step 4: Simplify right side
    22,979.84x = 409,248,485.64
  5. Step 5: Solve for x
    x = 409,248,485.64/22,979.84
  6. Step 6: Final answer
    x = 17,809.02

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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.