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Finding the Fourth Proportional to 28,026, 38,664.54 and 17,956.08

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Solution

The fourth proportional to 28,026, 38,664.54 and 17,956.08 is: 24,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 38,664.54 = 17,956.08 : x
  2. Step 2: Convert to fraction form
    28,026/38,664.54 = 17,956.08/x
  3. Step 3: Cross multiply
    28,026x = 38,664.54 × 17,956.08
  4. Step 4: Simplify right side
    28,026x = 694,263,573.40
  5. Step 5: Solve for x
    x = 694,263,573.40/28,026
  6. Step 6: Final answer
    x = 24,772.12

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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.