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Finding the Fourth Proportional to 19,804.60, 27,307.74 and 15,823

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Solution

The fourth proportional to 19,804.60, 27,307.74 and 15,823 is: 21,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.60 : 27,307.74 = 15,823 : x
  2. Step 2: Convert to fraction form
    19,804.60/27,307.74 = 15,823/x
  3. Step 3: Cross multiply
    19,804.60x = 27,307.74 × 15,823
  4. Step 4: Simplify right side
    19,804.60x = 432,090,370.02
  5. Step 5: Solve for x
    x = 432,090,370.02/19,804.60
  6. Step 6: Final answer
    x = 21,817.68

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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.