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Finding the Fourth Proportional to 21,499.86, 29,676 and 13,002

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Solution

The fourth proportional to 21,499.86, 29,676 and 13,002 is: 17,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.86 : 29,676 = 13,002 : x
  2. Step 2: Convert to fraction form
    21,499.86/29,676 = 13,002/x
  3. Step 3: Cross multiply
    21,499.86x = 29,676 × 13,002
  4. Step 4: Simplify right side
    21,499.86x = 385,847,352
  5. Step 5: Solve for x
    x = 385,847,352/21,499.86
  6. Step 6: Final answer
    x = 17,946.51

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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.