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Finding the Fourth Proportional to 24,214, 33,417.14 and 14,784.39

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Solution

The fourth proportional to 24,214, 33,417.14 and 14,784.39 is: 20,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214 : 33,417.14 = 14,784.39 : x
  2. Step 2: Convert to fraction form
    24,214/33,417.14 = 14,784.39/x
  3. Step 3: Cross multiply
    24,214x = 33,417.14 × 14,784.39
  4. Step 4: Simplify right side
    24,214x = 494,052,030.44
  5. Step 5: Solve for x
    x = 494,052,030.44/24,214
  6. Step 6: Final answer
    x = 20,403.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.