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Finding the Fourth Proportional to 13,957.50, 19,261.36 and 7,670.28

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Solution

The fourth proportional to 13,957.50, 19,261.36 and 7,670.28 is: 10,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.50 : 19,261.36 = 7,670.28 : x
  2. Step 2: Convert to fraction form
    13,957.50/19,261.36 = 7,670.28/x
  3. Step 3: Cross multiply
    13,957.50x = 19,261.36 × 7,670.28
  4. Step 4: Simplify right side
    13,957.50x = 147,740,024.38
  5. Step 5: Solve for x
    x = 147,740,024.38/13,957.50
  6. Step 6: Final answer
    x = 10,584.99

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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.