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Finding the Fourth Proportional to 13,083.50, 19,598.52 and 10,885.16

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Solution

The fourth proportional to 13,083.50, 19,598.52 and 10,885.16 is: 16,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.50 : 19,598.52 = 10,885.16 : x
  2. Step 2: Convert to fraction form
    13,083.50/19,598.52 = 10,885.16/x
  3. Step 3: Cross multiply
    13,083.50x = 19,598.52 × 10,885.16
  4. Step 4: Simplify right side
    13,083.50x = 213,333,025.96
  5. Step 5: Solve for x
    x = 213,333,025.96/13,083.50
  6. Step 6: Final answer
    x = 16,305.50

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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.