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Finding the Fourth Proportional to 17,582.81, 26,378.06 and 5,103

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Solution

The fourth proportional to 17,582.81, 26,378.06 and 5,103 is: 7,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.81 : 26,378.06 = 5,103 : x
  2. Step 2: Convert to fraction form
    17,582.81/26,378.06 = 5,103/x
  3. Step 3: Cross multiply
    17,582.81x = 26,378.06 × 5,103
  4. Step 4: Simplify right side
    17,582.81x = 134,607,214.67
  5. Step 5: Solve for x
    x = 134,607,214.67/17,582.81
  6. Step 6: Final answer
    x = 7,655.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.