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Finding the Fourth Proportional to 28,031, 38,683.08 and 15,284.08

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Solution

The fourth proportional to 28,031, 38,683.08 and 15,284.08 is: 21,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,031 : 38,683.08 = 15,284.08 : x
  2. Step 2: Convert to fraction form
    28,031/38,683.08 = 15,284.08/x
  3. Step 3: Cross multiply
    28,031x = 38,683.08 × 15,284.08
  4. Step 4: Simplify right side
    28,031x = 591,235,289.37
  5. Step 5: Solve for x
    x = 591,235,289.37/28,031
  6. Step 6: Final answer
    x = 21,092.19

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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.