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Finding the Fourth Proportional to 13,007.08, 17,947.74 and 7,417

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Solution

The fourth proportional to 13,007.08, 17,947.74 and 7,417 is: 10,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.08 : 17,947.74 = 7,417 : x
  2. Step 2: Convert to fraction form
    13,007.08/17,947.74 = 7,417/x
  3. Step 3: Cross multiply
    13,007.08x = 17,947.74 × 7,417
  4. Step 4: Simplify right side
    13,007.08x = 133,118,387.58
  5. Step 5: Solve for x
    x = 133,118,387.58/13,007.08
  6. Step 6: Final answer
    x = 10,234.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.