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Finding the Fourth Proportional to 13,091.30, 19,604.55 and 8,404.10

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Solution

The fourth proportional to 13,091.30, 19,604.55 and 8,404.10 is: 12,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.30 : 19,604.55 = 8,404.10 : x
  2. Step 2: Convert to fraction form
    13,091.30/19,604.55 = 8,404.10/x
  3. Step 3: Cross multiply
    13,091.30x = 19,604.55 × 8,404.10
  4. Step 4: Simplify right side
    13,091.30x = 164,758,598.66
  5. Step 5: Solve for x
    x = 164,758,598.66/13,091.30
  6. Step 6: Final answer
    x = 12,585.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.