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Finding the Fourth Proportional to 22,485.77, 31,030.35 and 12,414.20

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Solution

The fourth proportional to 22,485.77, 31,030.35 and 12,414.20 is: 17,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.77 : 31,030.35 = 12,414.20 : x
  2. Step 2: Convert to fraction form
    22,485.77/31,030.35 = 12,414.20/x
  3. Step 3: Cross multiply
    22,485.77x = 31,030.35 × 12,414.20
  4. Step 4: Simplify right side
    22,485.77x = 385,216,970.97
  5. Step 5: Solve for x
    x = 385,216,970.97/22,485.77
  6. Step 6: Final answer
    x = 17,131.59

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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.