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Finding the Fourth Proportional to 13,188.32, 19,755.98 and 6,158.63

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Solution

The fourth proportional to 13,188.32, 19,755.98 and 6,158.63 is: 9,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.32 : 19,755.98 = 6,158.63 : x
  2. Step 2: Convert to fraction form
    13,188.32/19,755.98 = 6,158.63/x
  3. Step 3: Cross multiply
    13,188.32x = 19,755.98 × 6,158.63
  4. Step 4: Simplify right side
    13,188.32x = 121,669,641.53
  5. Step 5: Solve for x
    x = 121,669,641.53/13,188.32
  6. Step 6: Final answer
    x = 9,225.56

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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.