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Finding the Fourth Proportional to 22,307.10, 30,783.82 and 12,235.60

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Solution

The fourth proportional to 22,307.10, 30,783.82 and 12,235.60 is: 16,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.10 : 30,783.82 = 12,235.60 : x
  2. Step 2: Convert to fraction form
    22,307.10/30,783.82 = 12,235.60/x
  3. Step 3: Cross multiply
    22,307.10x = 30,783.82 × 12,235.60
  4. Step 4: Simplify right side
    22,307.10x = 376,658,507.99
  5. Step 5: Solve for x
    x = 376,658,507.99/22,307.10
  6. Step 6: Final answer
    x = 16,885.14

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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.