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Finding the Fourth Proportional to 14,098.84, 19,454.90 and 7,810.60

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Solution

The fourth proportional to 14,098.84, 19,454.90 and 7,810.60 is: 10,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.84 : 19,454.90 = 7,810.60 : x
  2. Step 2: Convert to fraction form
    14,098.84/19,454.90 = 7,810.60/x
  3. Step 3: Cross multiply
    14,098.84x = 19,454.90 × 7,810.60
  4. Step 4: Simplify right side
    14,098.84x = 151,954,441.94
  5. Step 5: Solve for x
    x = 151,954,441.94/14,098.84
  6. Step 6: Final answer
    x = 10,777.80

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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.