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Finding the Fourth Proportional to 13,088.17, 19,635.09 and 4,201.44

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Solution

The fourth proportional to 13,088.17, 19,635.09 and 4,201.44 is: 6,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.17 : 19,635.09 = 4,201.44 : x
  2. Step 2: Convert to fraction form
    13,088.17/19,635.09 = 4,201.44/x
  3. Step 3: Cross multiply
    13,088.17x = 19,635.09 × 4,201.44
  4. Step 4: Simplify right side
    13,088.17x = 82,495,652.53
  5. Step 5: Solve for x
    x = 82,495,652.53/13,088.17
  6. Step 6: Final answer
    x = 6,303.07

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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.