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Finding the Fourth Proportional to 28,077, 38,746.26 and 15,501.84

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Solution

The fourth proportional to 28,077, 38,746.26 and 15,501.84 is: 21,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077 : 38,746.26 = 15,501.84 : x
  2. Step 2: Convert to fraction form
    28,077/38,746.26 = 15,501.84/x
  3. Step 3: Cross multiply
    28,077x = 38,746.26 × 15,501.84
  4. Step 4: Simplify right side
    28,077x = 600,638,323.12
  5. Step 5: Solve for x
    x = 600,638,323.12/28,077
  6. Step 6: Final answer
    x = 21,392.54

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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.