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Finding the Fourth Proportional to 13,098.52, 19,643.52 and 5,700.79

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Solution

The fourth proportional to 13,098.52, 19,643.52 and 5,700.79 is: 8,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.52 : 19,643.52 = 5,700.79 : x
  2. Step 2: Convert to fraction form
    13,098.52/19,643.52 = 5,700.79/x
  3. Step 3: Cross multiply
    13,098.52x = 19,643.52 × 5,700.79
  4. Step 4: Simplify right side
    13,098.52x = 111,983,484.16
  5. Step 5: Solve for x
    x = 111,983,484.16/13,098.52
  6. Step 6: Final answer
    x = 8,549.33

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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.