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Finding the Fourth Proportional to 14,097, 21,153.27 and 7,860.51

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Solution

The fourth proportional to 14,097, 21,153.27 and 7,860.51 is: 11,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097 : 21,153.27 = 7,860.51 : x
  2. Step 2: Convert to fraction form
    14,097/21,153.27 = 7,860.51/x
  3. Step 3: Cross multiply
    14,097x = 21,153.27 × 7,860.51
  4. Step 4: Simplify right side
    14,097x = 166,275,490.37
  5. Step 5: Solve for x
    x = 166,275,490.37/14,097
  6. Step 6: Final answer
    x = 11,795.10

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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.