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Finding the Fourth Proportional to 13,910.84, 19,196.93 and 7,537.59

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Solution

The fourth proportional to 13,910.84, 19,196.93 and 7,537.59 is: 10,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.84 : 19,196.93 = 7,537.59 : x
  2. Step 2: Convert to fraction form
    13,910.84/19,196.93 = 7,537.59/x
  3. Step 3: Cross multiply
    13,910.84x = 19,196.93 × 7,537.59
  4. Step 4: Simplify right side
    13,910.84x = 144,698,587.60
  5. Step 5: Solve for x
    x = 144,698,587.60/13,910.84
  6. Step 6: Final answer
    x = 10,401.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.