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Finding the Fourth Proportional to 25,393.92, 35,024.71 and 16,434.51

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Solution

The fourth proportional to 25,393.92, 35,024.71 and 16,434.51 is: 22,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393.92 : 35,024.71 = 16,434.51 : x
  2. Step 2: Convert to fraction form
    25,393.92/35,024.71 = 16,434.51/x
  3. Step 3: Cross multiply
    25,393.92x = 35,024.71 × 16,434.51
  4. Step 4: Simplify right side
    25,393.92x = 575,613,946.74
  5. Step 5: Solve for x
    x = 575,613,946.74/25,393.92
  6. Step 6: Final answer
    x = 22,667.39

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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.