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Finding the Fourth Proportional to 29,894.63, 41,256.45 and 16,465.87

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Solution

The fourth proportional to 29,894.63, 41,256.45 and 16,465.87 is: 22,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.63 : 41,256.45 = 16,465.87 : x
  2. Step 2: Convert to fraction form
    29,894.63/41,256.45 = 16,465.87/x
  3. Step 3: Cross multiply
    29,894.63x = 41,256.45 × 16,465.87
  4. Step 4: Simplify right side
    29,894.63x = 679,323,393.93
  5. Step 5: Solve for x
    x = 679,323,393.93/29,894.63
  6. Step 6: Final answer
    x = 22,723.93

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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.