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Finding the Fourth Proportional to 14,418.78, 19,892.07 and 10,176

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Solution

The fourth proportional to 14,418.78, 19,892.07 and 10,176 is: 14,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418.78 : 19,892.07 = 10,176 : x
  2. Step 2: Convert to fraction form
    14,418.78/19,892.07 = 10,176/x
  3. Step 3: Cross multiply
    14,418.78x = 19,892.07 × 10,176
  4. Step 4: Simplify right side
    14,418.78x = 202,421,704.32
  5. Step 5: Solve for x
    x = 202,421,704.32/14,418.78
  6. Step 6: Final answer
    x = 14,038.75

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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.