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Finding the Fourth Proportional to 25,576.48, 35,297.04 and 14,400.16

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Solution

The fourth proportional to 25,576.48, 35,297.04 and 14,400.16 is: 19,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,576.48 : 35,297.04 = 14,400.16 : x
  2. Step 2: Convert to fraction form
    25,576.48/35,297.04 = 14,400.16/x
  3. Step 3: Cross multiply
    25,576.48x = 35,297.04 × 14,400.16
  4. Step 4: Simplify right side
    25,576.48x = 508,283,023.53
  5. Step 5: Solve for x
    x = 508,283,023.53/25,576.48
  6. Step 6: Final answer
    x = 19,873.06

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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.