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Finding the Fourth Proportional to 10,674.90, 15,990.93 and 9,802.95

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Solution

The fourth proportional to 10,674.90, 15,990.93 and 9,802.95 is: 14,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.90 : 15,990.93 = 9,802.95 : x
  2. Step 2: Convert to fraction form
    10,674.90/15,990.93 = 9,802.95/x
  3. Step 3: Cross multiply
    10,674.90x = 15,990.93 × 9,802.95
  4. Step 4: Simplify right side
    10,674.90x = 156,758,311.75
  5. Step 5: Solve for x
    x = 156,758,311.75/10,674.90
  6. Step 6: Final answer
    x = 14,684.75

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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.