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Finding the Fourth Proportional to 18,989.33, 26,205.12 and 10,492.00

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Solution

The fourth proportional to 18,989.33, 26,205.12 and 10,492.00 is: 14,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,989.33 : 26,205.12 = 10,492.00 : x
  2. Step 2: Convert to fraction form
    18,989.33/26,205.12 = 10,492.00/x
  3. Step 3: Cross multiply
    18,989.33x = 26,205.12 × 10,492.00
  4. Step 4: Simplify right side
    18,989.33x = 274,944,053.53
  5. Step 5: Solve for x
    x = 274,944,053.53/18,989.33
  6. Step 6: Final answer
    x = 14,478.87

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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.