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Finding the Fourth Proportional to 22,709, 31,342.74 and 12,773

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Solution

The fourth proportional to 22,709, 31,342.74 and 12,773 is: 17,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709 : 31,342.74 = 12,773 : x
  2. Step 2: Convert to fraction form
    22,709/31,342.74 = 12,773/x
  3. Step 3: Cross multiply
    22,709x = 31,342.74 × 12,773
  4. Step 4: Simplify right side
    22,709x = 400,340,818.02
  5. Step 5: Solve for x
    x = 400,340,818.02/22,709
  6. Step 6: Final answer
    x = 17,629.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.