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Finding the Fourth Proportional to 13,774.46, 19,008.75 and 7,486.84

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Solution

The fourth proportional to 13,774.46, 19,008.75 and 7,486.84 is: 10,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.46 : 19,008.75 = 7,486.84 : x
  2. Step 2: Convert to fraction form
    13,774.46/19,008.75 = 7,486.84/x
  3. Step 3: Cross multiply
    13,774.46x = 19,008.75 × 7,486.84
  4. Step 4: Simplify right side
    13,774.46x = 142,315,337.37
  5. Step 5: Solve for x
    x = 142,315,337.37/13,774.46
  6. Step 6: Final answer
    x = 10,331.83

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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.