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Finding the Fourth Proportional to 12,038.98, 16,613.76 and 6,733.78

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Solution

The fourth proportional to 12,038.98, 16,613.76 and 6,733.78 is: 9,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.98 : 16,613.76 = 6,733.78 : x
  2. Step 2: Convert to fraction form
    12,038.98/16,613.76 = 6,733.78/x
  3. Step 3: Cross multiply
    12,038.98x = 16,613.76 × 6,733.78
  4. Step 4: Simplify right side
    12,038.98x = 111,873,444.10
  5. Step 5: Solve for x
    x = 111,873,444.10/12,038.98
  6. Step 6: Final answer
    x = 9,292.60

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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.