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Finding the Fourth Proportional to 12,874.24, 19,307.28 and 6,632.32

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Solution

The fourth proportional to 12,874.24, 19,307.28 and 6,632.32 is: 9,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.24 : 19,307.28 = 6,632.32 : x
  2. Step 2: Convert to fraction form
    12,874.24/19,307.28 = 6,632.32/x
  3. Step 3: Cross multiply
    12,874.24x = 19,307.28 × 6,632.32
  4. Step 4: Simplify right side
    12,874.24x = 128,052,059.29
  5. Step 5: Solve for x
    x = 128,052,059.29/12,874.24
  6. Step 6: Final answer
    x = 9,946.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.