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Finding the Fourth Proportional to 24,496, 33,804.64 and 13,318.40

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Solution

The fourth proportional to 24,496, 33,804.64 and 13,318.40 is: 18,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496 : 33,804.64 = 13,318.40 : x
  2. Step 2: Convert to fraction form
    24,496/33,804.64 = 13,318.40/x
  3. Step 3: Cross multiply
    24,496x = 33,804.64 × 13,318.40
  4. Step 4: Simplify right side
    24,496x = 450,223,717.38
  5. Step 5: Solve for x
    x = 450,223,717.38/24,496
  6. Step 6: Final answer
    x = 18,379.48

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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.