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Finding the Fourth Proportional to 21,965.94, 30,307.77 and 12,406.02

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Solution

The fourth proportional to 21,965.94, 30,307.77 and 12,406.02 is: 17,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.94 : 30,307.77 = 12,406.02 : x
  2. Step 2: Convert to fraction form
    21,965.94/30,307.77 = 12,406.02/x
  3. Step 3: Cross multiply
    21,965.94x = 30,307.77 × 12,406.02
  4. Step 4: Simplify right side
    21,965.94x = 375,998,800.78
  5. Step 5: Solve for x
    x = 375,998,800.78/21,965.94
  6. Step 6: Final answer
    x = 17,117.36

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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.