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Finding the Fourth Proportional to 18,465.32, 27,669.54 and 12,534.50

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Solution

The fourth proportional to 18,465.32, 27,669.54 and 12,534.50 is: 18,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.32 : 27,669.54 = 12,534.50 : x
  2. Step 2: Convert to fraction form
    18,465.32/27,669.54 = 12,534.50/x
  3. Step 3: Cross multiply
    18,465.32x = 27,669.54 × 12,534.50
  4. Step 4: Simplify right side
    18,465.32x = 346,823,849.13
  5. Step 5: Solve for x
    x = 346,823,849.13/18,465.32
  6. Step 6: Final answer
    x = 18,782.44

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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.