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Finding the Fourth Proportional to 19,683.19, 27,172.50 and 13,638.02

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Solution

The fourth proportional to 19,683.19, 27,172.50 and 13,638.02 is: 18,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.19 : 27,172.50 = 13,638.02 : x
  2. Step 2: Convert to fraction form
    19,683.19/27,172.50 = 13,638.02/x
  3. Step 3: Cross multiply
    19,683.19x = 27,172.50 × 13,638.02
  4. Step 4: Simplify right side
    19,683.19x = 370,578,894.40
  5. Step 5: Solve for x
    x = 370,578,894.40/19,683.19
  6. Step 6: Final answer
    x = 18,827.18

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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.