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Finding the Fourth Proportional to 12,671.46, 17,488.09 and 10,543.24

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Solution

The fourth proportional to 12,671.46, 17,488.09 and 10,543.24 is: 14,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.46 : 17,488.09 = 10,543.24 : x
  2. Step 2: Convert to fraction form
    12,671.46/17,488.09 = 10,543.24/x
  3. Step 3: Cross multiply
    12,671.46x = 17,488.09 × 10,543.24
  4. Step 4: Simplify right side
    12,671.46x = 184,381,130.01
  5. Step 5: Solve for x
    x = 184,381,130.01/12,671.46
  6. Step 6: Final answer
    x = 14,550.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.