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Finding the Fourth Proportional to 18,582.09, 25,643.10 and 10,084.20

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Solution

The fourth proportional to 18,582.09, 25,643.10 and 10,084.20 is: 13,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.09 : 25,643.10 = 10,084.20 : x
  2. Step 2: Convert to fraction form
    18,582.09/25,643.10 = 10,084.20/x
  3. Step 3: Cross multiply
    18,582.09x = 25,643.10 × 10,084.20
  4. Step 4: Simplify right side
    18,582.09x = 258,590,149.02
  5. Step 5: Solve for x
    x = 258,590,149.02/18,582.09
  6. Step 6: Final answer
    x = 13,916.10

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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.