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Finding the Fourth Proportional to 12,011.75, 18,107.70 and 11,208.93

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Solution

The fourth proportional to 12,011.75, 18,107.70 and 11,208.93 is: 16,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.75 : 18,107.70 = 11,208.93 : x
  2. Step 2: Convert to fraction form
    12,011.75/18,107.70 = 11,208.93/x
  3. Step 3: Cross multiply
    12,011.75x = 18,107.70 × 11,208.93
  4. Step 4: Simplify right side
    12,011.75x = 202,967,941.76
  5. Step 5: Solve for x
    x = 202,967,941.76/12,011.75
  6. Step 6: Final answer
    x = 16,897.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.