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Finding the Fourth Proportional to 21,972, 30,320.97 and 11,900.35

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Solution

The fourth proportional to 21,972, 30,320.97 and 11,900.35 is: 16,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972 : 30,320.97 = 11,900.35 : x
  2. Step 2: Convert to fraction form
    21,972/30,320.97 = 11,900.35/x
  3. Step 3: Cross multiply
    21,972x = 30,320.97 × 11,900.35
  4. Step 4: Simplify right side
    21,972x = 360,830,155.34
  5. Step 5: Solve for x
    x = 360,830,155.34/21,972
  6. Step 6: Final answer
    x = 16,422.27

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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.