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Finding the Fourth Proportional to 18,649, 27,950.70 and 8,775.16

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Solution

The fourth proportional to 18,649, 27,950.70 and 8,775.16 is: 13,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649 : 27,950.70 = 8,775.16 : x
  2. Step 2: Convert to fraction form
    18,649/27,950.70 = 8,775.16/x
  3. Step 3: Cross multiply
    18,649x = 27,950.70 × 8,775.16
  4. Step 4: Simplify right side
    18,649x = 245,271,864.61
  5. Step 5: Solve for x
    x = 245,271,864.61/18,649
  6. Step 6: Final answer
    x = 13,152.01

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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.