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Finding the Fourth Proportional to 22,275.47, 30,738.91 and 12,202.01

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Solution

The fourth proportional to 22,275.47, 30,738.91 and 12,202.01 is: 16,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.47 : 30,738.91 = 12,202.01 : x
  2. Step 2: Convert to fraction form
    22,275.47/30,738.91 = 12,202.01/x
  3. Step 3: Cross multiply
    22,275.47x = 30,738.91 × 12,202.01
  4. Step 4: Simplify right side
    22,275.47x = 375,076,487.21
  5. Step 5: Solve for x
    x = 375,076,487.21/22,275.47
  6. Step 6: Final answer
    x = 16,838.10

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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.