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Finding the Fourth Proportional to 13,781.25, 19,018.53 and 7,494.03

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Solution

The fourth proportional to 13,781.25, 19,018.53 and 7,494.03 is: 10,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.25 : 19,018.53 = 7,494.03 : x
  2. Step 2: Convert to fraction form
    13,781.25/19,018.53 = 7,494.03/x
  3. Step 3: Cross multiply
    13,781.25x = 19,018.53 × 7,494.03
  4. Step 4: Simplify right side
    13,781.25x = 142,525,434.38
  5. Step 5: Solve for x
    x = 142,525,434.38/13,781.25
  6. Step 6: Final answer
    x = 10,341.98

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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.