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Finding the Fourth Proportional to 24,017.32, 33,141.72 and 13,405

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Solution

The fourth proportional to 24,017.32, 33,141.72 and 13,405 is: 18,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.32 : 33,141.72 = 13,405 : x
  2. Step 2: Convert to fraction form
    24,017.32/33,141.72 = 13,405/x
  3. Step 3: Cross multiply
    24,017.32x = 33,141.72 × 13,405
  4. Step 4: Simplify right side
    24,017.32x = 444,264,756.60
  5. Step 5: Solve for x
    x = 444,264,756.60/24,017.32
  6. Step 6: Final answer
    x = 18,497.68

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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.