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Finding the Fourth Proportional to 17,526, 26,289.18 and 5,214

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Solution

The fourth proportional to 17,526, 26,289.18 and 5,214 is: 7,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526 : 26,289.18 = 5,214 : x
  2. Step 2: Convert to fraction form
    17,526/26,289.18 = 5,214/x
  3. Step 3: Cross multiply
    17,526x = 26,289.18 × 5,214
  4. Step 4: Simplify right side
    17,526x = 137,071,784.52
  5. Step 5: Solve for x
    x = 137,071,784.52/17,526
  6. Step 6: Final answer
    x = 7,821.05

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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.