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Finding the Fourth Proportional to 12,048.85, 16,613.25 and 9,656.91

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Solution

The fourth proportional to 12,048.85, 16,613.25 and 9,656.91 is: 13,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.85 : 16,613.25 = 9,656.91 : x
  2. Step 2: Convert to fraction form
    12,048.85/16,613.25 = 9,656.91/x
  3. Step 3: Cross multiply
    12,048.85x = 16,613.25 × 9,656.91
  4. Step 4: Simplify right side
    12,048.85x = 160,432,660.06
  5. Step 5: Solve for x
    x = 160,432,660.06/12,048.85
  6. Step 6: Final answer
    x = 13,315.18

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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.