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Finding the Fourth Proportional to 13,013.69, 17,946.60 and 8,541.32

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Solution

The fourth proportional to 13,013.69, 17,946.60 and 8,541.32 is: 11,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.69 : 17,946.60 = 8,541.32 : x
  2. Step 2: Convert to fraction form
    13,013.69/17,946.60 = 8,541.32/x
  3. Step 3: Cross multiply
    13,013.69x = 17,946.60 × 8,541.32
  4. Step 4: Simplify right side
    13,013.69x = 153,287,653.51
  5. Step 5: Solve for x
    x = 153,287,653.51/13,013.69
  6. Step 6: Final answer
    x = 11,778.95

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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.