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Finding the Fourth Proportional to 13,314.32, 19,971.48 and 7,475.03

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Solution

The fourth proportional to 13,314.32, 19,971.48 and 7,475.03 is: 11,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.32 : 19,971.48 = 7,475.03 : x
  2. Step 2: Convert to fraction form
    13,314.32/19,971.48 = 7,475.03/x
  3. Step 3: Cross multiply
    13,314.32x = 19,971.48 × 7,475.03
  4. Step 4: Simplify right side
    13,314.32x = 149,287,374.77
  5. Step 5: Solve for x
    x = 149,287,374.77/13,314.32
  6. Step 6: Final answer
    x = 11,212.54

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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.