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Finding the Fourth Proportional to 15,642.60, 23,450.16 and 8,130.34

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Solution

The fourth proportional to 15,642.60, 23,450.16 and 8,130.34 is: 12,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.60 : 23,450.16 = 8,130.34 : x
  2. Step 2: Convert to fraction form
    15,642.60/23,450.16 = 8,130.34/x
  3. Step 3: Cross multiply
    15,642.60x = 23,450.16 × 8,130.34
  4. Step 4: Simplify right side
    15,642.60x = 190,657,773.85
  5. Step 5: Solve for x
    x = 190,657,773.85/15,642.60
  6. Step 6: Final answer
    x = 12,188.37

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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.