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Finding the Fourth Proportional to 21,433.64, 29,577.06 and 12,002.12

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Solution

The fourth proportional to 21,433.64, 29,577.06 and 12,002.12 is: 16,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.64 : 29,577.06 = 12,002.12 : x
  2. Step 2: Convert to fraction form
    21,433.64/29,577.06 = 12,002.12/x
  3. Step 3: Cross multiply
    21,433.64x = 29,577.06 × 12,002.12
  4. Step 4: Simplify right side
    21,433.64x = 354,987,423.37
  5. Step 5: Solve for x
    x = 354,987,423.37/21,433.64
  6. Step 6: Final answer
    x = 16,562.16

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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.