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Finding the Fourth Proportional to 28,009, 38,652.42 and 15,434.92

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Solution

The fourth proportional to 28,009, 38,652.42 and 15,434.92 is: 21,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009 : 38,652.42 = 15,434.92 : x
  2. Step 2: Convert to fraction form
    28,009/38,652.42 = 15,434.92/x
  3. Step 3: Cross multiply
    28,009x = 38,652.42 × 15,434.92
  4. Step 4: Simplify right side
    28,009x = 596,597,010.51
  5. Step 5: Solve for x
    x = 596,597,010.51/28,009
  6. Step 6: Final answer
    x = 21,300.19

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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.