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Finding the Fourth Proportional to 14,232.86, 19,642.47 and 8,266.40

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Solution

The fourth proportional to 14,232.86, 19,642.47 and 8,266.40 is: 11,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.86 : 19,642.47 = 8,266.40 : x
  2. Step 2: Convert to fraction form
    14,232.86/19,642.47 = 8,266.40/x
  3. Step 3: Cross multiply
    14,232.86x = 19,642.47 × 8,266.40
  4. Step 4: Simplify right side
    14,232.86x = 162,372,514.01
  5. Step 5: Solve for x
    x = 162,372,514.01/14,232.86
  6. Step 6: Final answer
    x = 11,408.28

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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.