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Finding the Fourth Proportional to 13,207.41, 19,814.05 and 4,442.06

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Solution

The fourth proportional to 13,207.41, 19,814.05 and 4,442.06 is: 6,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.41 : 19,814.05 = 4,442.06 : x
  2. Step 2: Convert to fraction form
    13,207.41/19,814.05 = 4,442.06/x
  3. Step 3: Cross multiply
    13,207.41x = 19,814.05 × 4,442.06
  4. Step 4: Simplify right side
    13,207.41x = 88,015,254.03
  5. Step 5: Solve for x
    x = 88,015,254.03/13,207.41
  6. Step 6: Final answer
    x = 6,664.08

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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.