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Finding the Fourth Proportional to 12,017.46, 16,590.18 and 8,242.16

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Solution

The fourth proportional to 12,017.46, 16,590.18 and 8,242.16 is: 11,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.46 : 16,590.18 = 8,242.16 : x
  2. Step 2: Convert to fraction form
    12,017.46/16,590.18 = 8,242.16/x
  3. Step 3: Cross multiply
    12,017.46x = 16,590.18 × 8,242.16
  4. Step 4: Simplify right side
    12,017.46x = 136,738,917.99
  5. Step 5: Solve for x
    x = 136,738,917.99/12,017.46
  6. Step 6: Final answer
    x = 11,378.35

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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.