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Finding the Fourth Proportional to 16,009.78, 22,094.76 and 9,297.40

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Solution

The fourth proportional to 16,009.78, 22,094.76 and 9,297.40 is: 12,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.78 : 22,094.76 = 9,297.40 : x
  2. Step 2: Convert to fraction form
    16,009.78/22,094.76 = 9,297.40/x
  3. Step 3: Cross multiply
    16,009.78x = 22,094.76 × 9,297.40
  4. Step 4: Simplify right side
    16,009.78x = 205,423,821.62
  5. Step 5: Solve for x
    x = 205,423,821.62/16,009.78
  6. Step 6: Final answer
    x = 12,831.15

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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.