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Finding the Fourth Proportional to 13,820.40, 19,071.84 and 8,515.04

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Solution

The fourth proportional to 13,820.40, 19,071.84 and 8,515.04 is: 11,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.40 : 19,071.84 = 8,515.04 : x
  2. Step 2: Convert to fraction form
    13,820.40/19,071.84 = 8,515.04/x
  3. Step 3: Cross multiply
    13,820.40x = 19,071.84 × 8,515.04
  4. Step 4: Simplify right side
    13,820.40x = 162,397,480.47
  5. Step 5: Solve for x
    x = 162,397,480.47/13,820.40
  6. Step 6: Final answer
    x = 11,750.56

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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.