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Finding the Fourth Proportional to 17,650.09, 26,475.14 and 9,842.50

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Solution

The fourth proportional to 17,650.09, 26,475.14 and 9,842.50 is: 14,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.09 : 26,475.14 = 9,842.50 : x
  2. Step 2: Convert to fraction form
    17,650.09/26,475.14 = 9,842.50/x
  3. Step 3: Cross multiply
    17,650.09x = 26,475.14 × 9,842.50
  4. Step 4: Simplify right side
    17,650.09x = 260,581,565.45
  5. Step 5: Solve for x
    x = 260,581,565.45/17,650.09
  6. Step 6: Final answer
    x = 14,763.75

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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.