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Finding the Fourth Proportional to 15,994.17, 23,994.09 and 7,689.24

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Solution

The fourth proportional to 15,994.17, 23,994.09 and 7,689.24 is: 11,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.17 : 23,994.09 = 7,689.24 : x
  2. Step 2: Convert to fraction form
    15,994.17/23,994.09 = 7,689.24/x
  3. Step 3: Cross multiply
    15,994.17x = 23,994.09 × 7,689.24
  4. Step 4: Simplify right side
    15,994.17x = 184,496,158.17
  5. Step 5: Solve for x
    x = 184,496,158.17/15,994.17
  6. Step 6: Final answer
    x = 11,535.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.