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Finding the Fourth Proportional to 13,035.18, 19,508.28 and 8,288.94

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Solution

The fourth proportional to 13,035.18, 19,508.28 and 8,288.94 is: 12,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.18 : 19,508.28 = 8,288.94 : x
  2. Step 2: Convert to fraction form
    13,035.18/19,508.28 = 8,288.94/x
  3. Step 3: Cross multiply
    13,035.18x = 19,508.28 × 8,288.94
  4. Step 4: Simplify right side
    13,035.18x = 161,702,962.42
  5. Step 5: Solve for x
    x = 161,702,962.42/13,035.18
  6. Step 6: Final answer
    x = 12,405.12

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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.