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Finding the Fourth Proportional to 18,948.50, 26,148.94 and 10,565

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Solution

The fourth proportional to 18,948.50, 26,148.94 and 10,565 is: 14,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,948.50 : 26,148.94 = 10,565 : x
  2. Step 2: Convert to fraction form
    18,948.50/26,148.94 = 10,565/x
  3. Step 3: Cross multiply
    18,948.50x = 26,148.94 × 10,565
  4. Step 4: Simplify right side
    18,948.50x = 276,263,551.10
  5. Step 5: Solve for x
    x = 276,263,551.10/18,948.50
  6. Step 6: Final answer
    x = 14,579.71

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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.