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Finding the Fourth Proportional to 13,008.69, 19,513.09 and 3,147.95

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Solution

The fourth proportional to 13,008.69, 19,513.09 and 3,147.95 is: 4,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.69 : 19,513.09 = 3,147.95 : x
  2. Step 2: Convert to fraction form
    13,008.69/19,513.09 = 3,147.95/x
  3. Step 3: Cross multiply
    13,008.69x = 19,513.09 × 3,147.95
  4. Step 4: Simplify right side
    13,008.69x = 61,426,264.71
  5. Step 5: Solve for x
    x = 61,426,264.71/13,008.69
  6. Step 6: Final answer
    x = 4,721.94

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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.