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Finding the Fourth Proportional to 23,406.84, 32,304.48 and 13,338.88

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Solution

The fourth proportional to 23,406.84, 32,304.48 and 13,338.88 is: 18,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.84 : 32,304.48 = 13,338.88 : x
  2. Step 2: Convert to fraction form
    23,406.84/32,304.48 = 13,338.88/x
  3. Step 3: Cross multiply
    23,406.84x = 32,304.48 × 13,338.88
  4. Step 4: Simplify right side
    23,406.84x = 430,905,582.18
  5. Step 5: Solve for x
    x = 430,905,582.18/23,406.84
  6. Step 6: Final answer
    x = 18,409.39

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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.