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Finding the Fourth Proportional to 13,208.64, 19,813.08 and 5,710.80

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Solution

The fourth proportional to 13,208.64, 19,813.08 and 5,710.80 is: 8,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.64 : 19,813.08 = 5,710.80 : x
  2. Step 2: Convert to fraction form
    13,208.64/19,813.08 = 5,710.80/x
  3. Step 3: Cross multiply
    13,208.64x = 19,813.08 × 5,710.80
  4. Step 4: Simplify right side
    13,208.64x = 113,148,537.26
  5. Step 5: Solve for x
    x = 113,148,537.26/13,208.64
  6. Step 6: Final answer
    x = 8,566.25

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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.