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Finding the Fourth Proportional to 17,100.95, 23,598.09 and 10,026

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Solution

The fourth proportional to 17,100.95, 23,598.09 and 10,026 is: 13,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.95 : 23,598.09 = 10,026 : x
  2. Step 2: Convert to fraction form
    17,100.95/23,598.09 = 10,026/x
  3. Step 3: Cross multiply
    17,100.95x = 23,598.09 × 10,026
  4. Step 4: Simplify right side
    17,100.95x = 236,594,450.34
  5. Step 5: Solve for x
    x = 236,594,450.34/17,100.95
  6. Step 6: Final answer
    x = 13,835.17

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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.