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Finding the Fourth Proportional to 17,830.68, 26,737.74 and 7,970.01

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Solution

The fourth proportional to 17,830.68, 26,737.74 and 7,970.01 is: 11,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.68 : 26,737.74 = 7,970.01 : x
  2. Step 2: Convert to fraction form
    17,830.68/26,737.74 = 7,970.01/x
  3. Step 3: Cross multiply
    17,830.68x = 26,737.74 × 7,970.01
  4. Step 4: Simplify right side
    17,830.68x = 213,100,055.18
  5. Step 5: Solve for x
    x = 213,100,055.18/17,830.68
  6. Step 6: Final answer
    x = 11,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.