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Finding the Fourth Proportional to 23,973.57, 33,085.17 and 13,364.91

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Solution

The fourth proportional to 23,973.57, 33,085.17 and 13,364.91 is: 18,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,973.57 : 33,085.17 = 13,364.91 : x
  2. Step 2: Convert to fraction form
    23,973.57/33,085.17 = 13,364.91/x
  3. Step 3: Cross multiply
    23,973.57x = 33,085.17 × 13,364.91
  4. Step 4: Simplify right side
    23,973.57x = 442,180,319.38
  5. Step 5: Solve for x
    x = 442,180,319.38/23,973.57
  6. Step 6: Final answer
    x = 18,444.49

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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.