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Finding the Fourth Proportional to 14,435.76, 21,649.86 and 6,535.20

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Solution

The fourth proportional to 14,435.76, 21,649.86 and 6,535.20 is: 9,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.76 : 21,649.86 = 6,535.20 : x
  2. Step 2: Convert to fraction form
    14,435.76/21,649.86 = 6,535.20/x
  3. Step 3: Cross multiply
    14,435.76x = 21,649.86 × 6,535.20
  4. Step 4: Simplify right side
    14,435.76x = 141,486,165.07
  5. Step 5: Solve for x
    x = 141,486,165.07/14,435.76
  6. Step 6: Final answer
    x = 9,801.09

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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.