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Finding the Fourth Proportional to 22,335.71, 30,825.72 and 12,776.47

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Solution

The fourth proportional to 22,335.71, 30,825.72 and 12,776.47 is: 17,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.71 : 30,825.72 = 12,776.47 : x
  2. Step 2: Convert to fraction form
    22,335.71/30,825.72 = 12,776.47/x
  3. Step 3: Cross multiply
    22,335.71x = 30,825.72 × 12,776.47
  4. Step 4: Simplify right side
    22,335.71x = 393,843,809.74
  5. Step 5: Solve for x
    x = 393,843,809.74/22,335.71
  6. Step 6: Final answer
    x = 17,632.92

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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.