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Finding the Fourth Proportional to 12,005.19, 17,983.08 and 10,622.12

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Solution

The fourth proportional to 12,005.19, 17,983.08 and 10,622.12 is: 15,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.19 : 17,983.08 = 10,622.12 : x
  2. Step 2: Convert to fraction form
    12,005.19/17,983.08 = 10,622.12/x
  3. Step 3: Cross multiply
    12,005.19x = 17,983.08 × 10,622.12
  4. Step 4: Simplify right side
    12,005.19x = 191,018,343.81
  5. Step 5: Solve for x
    x = 191,018,343.81/12,005.19
  6. Step 6: Final answer
    x = 15,911.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.