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Finding the Fourth Proportional to 14,431.53, 19,902.95 and 10,175.08

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Solution

The fourth proportional to 14,431.53, 19,902.95 and 10,175.08 is: 14,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.53 : 19,902.95 = 10,175.08 : x
  2. Step 2: Convert to fraction form
    14,431.53/19,902.95 = 10,175.08/x
  3. Step 3: Cross multiply
    14,431.53x = 19,902.95 × 10,175.08
  4. Step 4: Simplify right side
    14,431.53x = 202,514,108.49
  5. Step 5: Solve for x
    x = 202,514,108.49/14,431.53
  6. Step 6: Final answer
    x = 14,032.75

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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.