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Finding the Fourth Proportional to 13,830.88, 19,080.44 and 8,523.76

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Solution

The fourth proportional to 13,830.88, 19,080.44 and 8,523.76 is: 11,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.88 : 19,080.44 = 8,523.76 : x
  2. Step 2: Convert to fraction form
    13,830.88/19,080.44 = 8,523.76/x
  3. Step 3: Cross multiply
    13,830.88x = 19,080.44 × 8,523.76
  4. Step 4: Simplify right side
    13,830.88x = 162,637,091.25
  5. Step 5: Solve for x
    x = 162,637,091.25/13,830.88
  6. Step 6: Final answer
    x = 11,758.98

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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.