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Finding the Fourth Proportional to 21,971.64, 30,312.42 and 12,535.20

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Solution

The fourth proportional to 21,971.64, 30,312.42 and 12,535.20 is: 17,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.64 : 30,312.42 = 12,535.20 : x
  2. Step 2: Convert to fraction form
    21,971.64/30,312.42 = 12,535.20/x
  3. Step 3: Cross multiply
    21,971.64x = 30,312.42 × 12,535.20
  4. Step 4: Simplify right side
    21,971.64x = 379,972,247.18
  5. Step 5: Solve for x
    x = 379,972,247.18/21,971.64
  6. Step 6: Final answer
    x = 17,293.76

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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.