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Finding the Fourth Proportional to 14,424.90, 21,649.65 and 6,539.40

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Solution

The fourth proportional to 14,424.90, 21,649.65 and 6,539.40 is: 9,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.90 : 21,649.65 = 6,539.40 : x
  2. Step 2: Convert to fraction form
    14,424.90/21,649.65 = 6,539.40/x
  3. Step 3: Cross multiply
    14,424.90x = 21,649.65 × 6,539.40
  4. Step 4: Simplify right side
    14,424.90x = 141,575,721.21
  5. Step 5: Solve for x
    x = 141,575,721.21/14,424.90
  6. Step 6: Final answer
    x = 9,814.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.