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Finding the Fourth Proportional to 22,483.81, 33,719.32 and 6,688.20

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Solution

The fourth proportional to 22,483.81, 33,719.32 and 6,688.20 is: 10,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.81 : 33,719.32 = 6,688.20 : x
  2. Step 2: Convert to fraction form
    22,483.81/33,719.32 = 6,688.20/x
  3. Step 3: Cross multiply
    22,483.81x = 33,719.32 × 6,688.20
  4. Step 4: Simplify right side
    22,483.81x = 225,521,556.02
  5. Step 5: Solve for x
    x = 225,521,556.02/22,483.81
  6. Step 6: Final answer
    x = 10,030.40

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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.