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Finding the Fourth Proportional to 12,376.26, 18,570.54 and 5,802.95

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Solution

The fourth proportional to 12,376.26, 18,570.54 and 5,802.95 is: 8,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.26 : 18,570.54 = 5,802.95 : x
  2. Step 2: Convert to fraction form
    12,376.26/18,570.54 = 5,802.95/x
  3. Step 3: Cross multiply
    12,376.26x = 18,570.54 × 5,802.95
  4. Step 4: Simplify right side
    12,376.26x = 107,763,915.09
  5. Step 5: Solve for x
    x = 107,763,915.09/12,376.26
  6. Step 6: Final answer
    x = 8,707.31

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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.