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Finding the Fourth Proportional to 23,290.48, 32,126.16 and 13,852

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Solution

The fourth proportional to 23,290.48, 32,126.16 and 13,852 is: 19,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.48 : 32,126.16 = 13,852 : x
  2. Step 2: Convert to fraction form
    23,290.48/32,126.16 = 13,852/x
  3. Step 3: Cross multiply
    23,290.48x = 32,126.16 × 13,852
  4. Step 4: Simplify right side
    23,290.48x = 445,011,568.32
  5. Step 5: Solve for x
    x = 445,011,568.32/23,290.48
  6. Step 6: Final answer
    x = 19,107.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.