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Finding the Fourth Proportional to 28,145.34, 38,840.94 and 15,570

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Solution

The fourth proportional to 28,145.34, 38,840.94 and 15,570 is: 21,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,145.34 : 38,840.94 = 15,570 : x
  2. Step 2: Convert to fraction form
    28,145.34/38,840.94 = 15,570/x
  3. Step 3: Cross multiply
    28,145.34x = 38,840.94 × 15,570
  4. Step 4: Simplify right side
    28,145.34x = 604,753,435.80
  5. Step 5: Solve for x
    x = 604,753,435.80/28,145.34
  6. Step 6: Final answer
    x = 21,486.81

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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.