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Finding the Fourth Proportional to 14,005.53, 21,008.70 and 4,649.61

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Solution

The fourth proportional to 14,005.53, 21,008.70 and 4,649.61 is: 6,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.53 : 21,008.70 = 4,649.61 : x
  2. Step 2: Convert to fraction form
    14,005.53/21,008.70 = 4,649.61/x
  3. Step 3: Cross multiply
    14,005.53x = 21,008.70 × 4,649.61
  4. Step 4: Simplify right side
    14,005.53x = 97,682,261.61
  5. Step 5: Solve for x
    x = 97,682,261.61/14,005.53
  6. Step 6: Final answer
    x = 6,974.55

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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.