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Finding the Fourth Proportional to 24,116.64, 33,282.09 and 13,506

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Solution

The fourth proportional to 24,116.64, 33,282.09 and 13,506 is: 18,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.64 : 33,282.09 = 13,506 : x
  2. Step 2: Convert to fraction form
    24,116.64/33,282.09 = 13,506/x
  3. Step 3: Cross multiply
    24,116.64x = 33,282.09 × 13,506
  4. Step 4: Simplify right side
    24,116.64x = 449,507,907.54
  5. Step 5: Solve for x
    x = 449,507,907.54/24,116.64
  6. Step 6: Final answer
    x = 18,638.91

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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.