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Finding the Fourth Proportional to 13,957.21, 19,260.93 and 7,669.99

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Solution

The fourth proportional to 13,957.21, 19,260.93 and 7,669.99 is: 10,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.21 : 19,260.93 = 7,669.99 : x
  2. Step 2: Convert to fraction form
    13,957.21/19,260.93 = 7,669.99/x
  3. Step 3: Cross multiply
    13,957.21x = 19,260.93 × 7,669.99
  4. Step 4: Simplify right side
    13,957.21x = 147,731,140.49
  5. Step 5: Solve for x
    x = 147,731,140.49/13,957.21
  6. Step 6: Final answer
    x = 10,584.58

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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.