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Finding the Fourth Proportional to 22,284.99, 33,420.19 and 10,435.10

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Solution

The fourth proportional to 22,284.99, 33,420.19 and 10,435.10 is: 15,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.99 : 33,420.19 = 10,435.10 : x
  2. Step 2: Convert to fraction form
    22,284.99/33,420.19 = 10,435.10/x
  3. Step 3: Cross multiply
    22,284.99x = 33,420.19 × 10,435.10
  4. Step 4: Simplify right side
    22,284.99x = 348,742,831.48
  5. Step 5: Solve for x
    x = 348,742,831.48/22,284.99
  6. Step 6: Final answer
    x = 15,649.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.