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Finding the Fourth Proportional to 13,008.75, 19,513.14 and 3,774.75

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Solution

The fourth proportional to 13,008.75, 19,513.14 and 3,774.75 is: 5,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.75 : 19,513.14 = 3,774.75 : x
  2. Step 2: Convert to fraction form
    13,008.75/19,513.14 = 3,774.75/x
  3. Step 3: Cross multiply
    13,008.75x = 19,513.14 × 3,774.75
  4. Step 4: Simplify right side
    13,008.75x = 73,657,225.22
  5. Step 5: Solve for x
    x = 73,657,225.22/13,008.75
  6. Step 6: Final answer
    x = 5,662.13

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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.