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Finding the Fourth Proportional to 12,212.28, 16,851.78 and 9,700.47

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Solution

The fourth proportional to 12,212.28, 16,851.78 and 9,700.47 is: 13,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.28 : 16,851.78 = 9,700.47 : x
  2. Step 2: Convert to fraction form
    12,212.28/16,851.78 = 9,700.47/x
  3. Step 3: Cross multiply
    12,212.28x = 16,851.78 × 9,700.47
  4. Step 4: Simplify right side
    12,212.28x = 163,470,186.34
  5. Step 5: Solve for x
    x = 163,470,186.34/12,212.28
  6. Step 6: Final answer
    x = 13,385.72

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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.