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Finding the Fourth Proportional to 12,038.72, 16,614.83 and 7,003.15

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Solution

The fourth proportional to 12,038.72, 16,614.83 and 7,003.15 is: 9,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.72 : 16,614.83 = 7,003.15 : x
  2. Step 2: Convert to fraction form
    12,038.72/16,614.83 = 7,003.15/x
  3. Step 3: Cross multiply
    12,038.72x = 16,614.83 × 7,003.15
  4. Step 4: Simplify right side
    12,038.72x = 116,356,179.26
  5. Step 5: Solve for x
    x = 116,356,179.26/12,038.72
  6. Step 6: Final answer
    x = 9,665.16

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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.