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Finding the Fourth Proportional to 22,506.10, 33,762.78 and 6,923.71

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Solution

The fourth proportional to 22,506.10, 33,762.78 and 6,923.71 is: 10,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.10 : 33,762.78 = 6,923.71 : x
  2. Step 2: Convert to fraction form
    22,506.10/33,762.78 = 6,923.71/x
  3. Step 3: Cross multiply
    22,506.10x = 33,762.78 × 6,923.71
  4. Step 4: Simplify right side
    22,506.10x = 233,763,697.51
  5. Step 5: Solve for x
    x = 233,763,697.51/22,506.10
  6. Step 6: Final answer
    x = 10,386.68

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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.