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Finding the Fourth Proportional to 17,671.14, 24,385.41 and 9,712.89

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Solution

The fourth proportional to 17,671.14, 24,385.41 and 9,712.89 is: 13,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.14 : 24,385.41 = 9,712.89 : x
  2. Step 2: Convert to fraction form
    17,671.14/24,385.41 = 9,712.89/x
  3. Step 3: Cross multiply
    17,671.14x = 24,385.41 × 9,712.89
  4. Step 4: Simplify right side
    17,671.14x = 236,852,804.93
  5. Step 5: Solve for x
    x = 236,852,804.93/17,671.14
  6. Step 6: Final answer
    x = 13,403.37

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1.5x scale

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.