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Finding the Fourth Proportional to 22,378.58, 30,883.24 and 12,307.80

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Solution

The fourth proportional to 22,378.58, 30,883.24 and 12,307.80 is: 16,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.58 : 30,883.24 = 12,307.80 : x
  2. Step 2: Convert to fraction form
    22,378.58/30,883.24 = 12,307.80/x
  3. Step 3: Cross multiply
    22,378.58x = 30,883.24 × 12,307.80
  4. Step 4: Simplify right side
    22,378.58x = 380,104,741.27
  5. Step 5: Solve for x
    x = 380,104,741.27/22,378.58
  6. Step 6: Final answer
    x = 16,985.20

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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.