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Finding the Fourth Proportional to 18,802.60, 25,948.11 and 10,419.10

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Solution

The fourth proportional to 18,802.60, 25,948.11 and 10,419.10 is: 14,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802.60 : 25,948.11 = 10,419.10 : x
  2. Step 2: Convert to fraction form
    18,802.60/25,948.11 = 10,419.10/x
  3. Step 3: Cross multiply
    18,802.60x = 25,948.11 × 10,419.10
  4. Step 4: Simplify right side
    18,802.60x = 270,355,952.90
  5. Step 5: Solve for x
    x = 270,355,952.90/18,802.60
  6. Step 6: Final answer
    x = 14,378.65

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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.