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Finding the Fourth Proportional to 14,239.86, 19,649.52 and 8,270.40

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Solution

The fourth proportional to 14,239.86, 19,649.52 and 8,270.40 is: 11,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.86 : 19,649.52 = 8,270.40 : x
  2. Step 2: Convert to fraction form
    14,239.86/19,649.52 = 8,270.40/x
  3. Step 3: Cross multiply
    14,239.86x = 19,649.52 × 8,270.40
  4. Step 4: Simplify right side
    14,239.86x = 162,509,390.21
  5. Step 5: Solve for x
    x = 162,509,390.21/14,239.86
  6. Step 6: Final answer
    x = 11,412.29

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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.