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Finding the Fourth Proportional to 11,212.16, 16,818.23 and 9,768.74

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Solution

The fourth proportional to 11,212.16, 16,818.23 and 9,768.74 is: 14,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.16 : 16,818.23 = 9,768.74 : x
  2. Step 2: Convert to fraction form
    11,212.16/16,818.23 = 9,768.74/x
  3. Step 3: Cross multiply
    11,212.16x = 16,818.23 × 9,768.74
  4. Step 4: Simplify right side
    11,212.16x = 164,292,856.46
  5. Step 5: Solve for x
    x = 164,292,856.46/11,212.16
  6. Step 6: Final answer
    x = 14,653.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.