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Finding the Fourth Proportional to 13,185.66, 19,772.09 and 4,869.59

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Solution

The fourth proportional to 13,185.66, 19,772.09 and 4,869.59 is: 7,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.66 : 19,772.09 = 4,869.59 : x
  2. Step 2: Convert to fraction form
    13,185.66/19,772.09 = 4,869.59/x
  3. Step 3: Cross multiply
    13,185.66x = 19,772.09 × 4,869.59
  4. Step 4: Simplify right side
    13,185.66x = 96,281,971.74
  5. Step 5: Solve for x
    x = 96,281,971.74/13,185.66
  6. Step 6: Final answer
    x = 7,302.02

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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.