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Finding the Fourth Proportional to 14,548.25, 21,802.03 and 7,870.33

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Solution

The fourth proportional to 14,548.25, 21,802.03 and 7,870.33 is: 11,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.25 : 21,802.03 = 7,870.33 : x
  2. Step 2: Convert to fraction form
    14,548.25/21,802.03 = 7,870.33/x
  3. Step 3: Cross multiply
    14,548.25x = 21,802.03 × 7,870.33
  4. Step 4: Simplify right side
    14,548.25x = 171,589,170.77
  5. Step 5: Solve for x
    x = 171,589,170.77/14,548.25
  6. Step 6: Final answer
    x = 11,794.49

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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.