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Finding the Fourth Proportional to 13,785.87, 19,013.40 and 9,005.49

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Solution

The fourth proportional to 13,785.87, 19,013.40 and 9,005.49 is: 12,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.87 : 19,013.40 = 9,005.49 : x
  2. Step 2: Convert to fraction form
    13,785.87/19,013.40 = 9,005.49/x
  3. Step 3: Cross multiply
    13,785.87x = 19,013.40 × 9,005.49
  4. Step 4: Simplify right side
    13,785.87x = 171,224,983.57
  5. Step 5: Solve for x
    x = 171,224,983.57/13,785.87
  6. Step 6: Final answer
    x = 12,420.32

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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.