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Finding the Fourth Proportional to 22,433.64, 30,961.08 and 13,002.72

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Solution

The fourth proportional to 22,433.64, 30,961.08 and 13,002.72 is: 17,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.64 : 30,961.08 = 13,002.72 : x
  2. Step 2: Convert to fraction form
    22,433.64/30,961.08 = 13,002.72/x
  3. Step 3: Cross multiply
    22,433.64x = 30,961.08 × 13,002.72
  4. Step 4: Simplify right side
    22,433.64x = 402,578,254.14
  5. Step 5: Solve for x
    x = 402,578,254.14/22,433.64
  6. Step 6: Final answer
    x = 17,945.29

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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.