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Finding the Fourth Proportional to 12,137.17, 16,750.42 and 7,101.07

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Solution

The fourth proportional to 12,137.17, 16,750.42 and 7,101.07 is: 9,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.17 : 16,750.42 = 7,101.07 : x
  2. Step 2: Convert to fraction form
    12,137.17/16,750.42 = 7,101.07/x
  3. Step 3: Cross multiply
    12,137.17x = 16,750.42 × 7,101.07
  4. Step 4: Simplify right side
    12,137.17x = 118,945,904.95
  5. Step 5: Solve for x
    x = 118,945,904.95/12,137.17
  6. Step 6: Final answer
    x = 9,800.14

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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.