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Finding the Fourth Proportional to 21,776.28, 30,048.16 and 12,343

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Solution

The fourth proportional to 21,776.28, 30,048.16 and 12,343 is: 17,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.28 : 30,048.16 = 12,343 : x
  2. Step 2: Convert to fraction form
    21,776.28/30,048.16 = 12,343/x
  3. Step 3: Cross multiply
    21,776.28x = 30,048.16 × 12,343
  4. Step 4: Simplify right side
    21,776.28x = 370,884,438.88
  5. Step 5: Solve for x
    x = 370,884,438.88/21,776.28
  6. Step 6: Final answer
    x = 17,031.58

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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.