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Finding the Fourth Proportional to 24,429.51, 33,683.18 and 20,646

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Solution

The fourth proportional to 24,429.51, 33,683.18 and 20,646 is: 28,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.51 : 33,683.18 = 20,646 : x
  2. Step 2: Convert to fraction form
    24,429.51/33,683.18 = 20,646/x
  3. Step 3: Cross multiply
    24,429.51x = 33,683.18 × 20,646
  4. Step 4: Simplify right side
    24,429.51x = 695,422,831.05
  5. Step 5: Solve for x
    x = 695,422,831.05/24,429.51
  6. Step 6: Final answer
    x = 28,466.51

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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.