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Finding the Fourth Proportional to 12,275.68, 16,946.20 and 7,238.32

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Solution

The fourth proportional to 12,275.68, 16,946.20 and 7,238.32 is: 9,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.68 : 16,946.20 = 7,238.32 : x
  2. Step 2: Convert to fraction form
    12,275.68/16,946.20 = 7,238.32/x
  3. Step 3: Cross multiply
    12,275.68x = 16,946.20 × 7,238.32
  4. Step 4: Simplify right side
    12,275.68x = 122,662,018.38
  5. Step 5: Solve for x
    x = 122,662,018.38/12,275.68
  6. Step 6: Final answer
    x = 9,992.28

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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.