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Finding the Fourth Proportional to 21,970.64, 30,311.04 and 12,534.20

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Solution

The fourth proportional to 21,970.64, 30,311.04 and 12,534.20 is: 17,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.64 : 30,311.04 = 12,534.20 : x
  2. Step 2: Convert to fraction form
    21,970.64/30,311.04 = 12,534.20/x
  3. Step 3: Cross multiply
    21,970.64x = 30,311.04 × 12,534.20
  4. Step 4: Simplify right side
    21,970.64x = 379,924,637.57
  5. Step 5: Solve for x
    x = 379,924,637.57/21,970.64
  6. Step 6: Final answer
    x = 17,292.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.