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Finding the Fourth Proportional to 13,261.50, 18,300.51 and 7,293.17

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Solution

The fourth proportional to 13,261.50, 18,300.51 and 7,293.17 is: 10,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.50 : 18,300.51 = 7,293.17 : x
  2. Step 2: Convert to fraction form
    13,261.50/18,300.51 = 7,293.17/x
  3. Step 3: Cross multiply
    13,261.50x = 18,300.51 × 7,293.17
  4. Step 4: Simplify right side
    13,261.50x = 133,468,767.11
  5. Step 5: Solve for x
    x = 133,468,767.11/13,261.50
  6. Step 6: Final answer
    x = 10,064.38

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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.