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Finding the Fourth Proportional to 13,098.77, 19,643.90 and 5,701.04

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Solution

The fourth proportional to 13,098.77, 19,643.90 and 5,701.04 is: 8,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.77 : 19,643.90 = 5,701.04 : x
  2. Step 2: Convert to fraction form
    13,098.77/19,643.90 = 5,701.04/x
  3. Step 3: Cross multiply
    13,098.77x = 19,643.90 × 5,701.04
  4. Step 4: Simplify right side
    13,098.77x = 111,990,532.93
  5. Step 5: Solve for x
    x = 111,990,532.93/13,098.77
  6. Step 6: Final answer
    x = 8,549.70

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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.