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Finding the Fourth Proportional to 14,008.66, 21,014.63 and 4,649.50

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Solution

The fourth proportional to 14,008.66, 21,014.63 and 4,649.50 is: 6,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.66 : 21,014.63 = 4,649.50 : x
  2. Step 2: Convert to fraction form
    14,008.66/21,014.63 = 4,649.50/x
  3. Step 3: Cross multiply
    14,008.66x = 21,014.63 × 4,649.50
  4. Step 4: Simplify right side
    14,008.66x = 97,707,522.19
  5. Step 5: Solve for x
    x = 97,707,522.19/14,008.66
  6. Step 6: Final answer
    x = 6,974.79

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Why These Related Problems?

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