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Finding the Fourth Proportional to 28,742.85, 39,665.34 and 16,803.81

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Solution

The fourth proportional to 28,742.85, 39,665.34 and 16,803.81 is: 23,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742.85 : 39,665.34 = 16,803.81 : x
  2. Step 2: Convert to fraction form
    28,742.85/39,665.34 = 16,803.81/x
  3. Step 3: Cross multiply
    28,742.85x = 39,665.34 × 16,803.81
  4. Step 4: Simplify right side
    28,742.85x = 666,528,836.95
  5. Step 5: Solve for x
    x = 666,528,836.95/28,742.85
  6. Step 6: Final answer
    x = 23,189.38

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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.