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Finding the Fourth Proportional to 22,307.24, 30,783.54 and 12,371.24

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Solution

The fourth proportional to 22,307.24, 30,783.54 and 12,371.24 is: 17,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.24 : 30,783.54 = 12,371.24 : x
  2. Step 2: Convert to fraction form
    22,307.24/30,783.54 = 12,371.24/x
  3. Step 3: Cross multiply
    22,307.24x = 30,783.54 × 12,371.24
  4. Step 4: Simplify right side
    22,307.24x = 380,830,561.39
  5. Step 5: Solve for x
    x = 380,830,561.39/22,307.24
  6. Step 6: Final answer
    x = 17,072.06

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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.