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Finding the Fourth Proportional to 13,834.17, 19,090.94 and 7,783.95

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Solution

The fourth proportional to 13,834.17, 19,090.94 and 7,783.95 is: 10,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.17 : 19,090.94 = 7,783.95 : x
  2. Step 2: Convert to fraction form
    13,834.17/19,090.94 = 7,783.95/x
  3. Step 3: Cross multiply
    13,834.17x = 19,090.94 × 7,783.95
  4. Step 4: Simplify right side
    13,834.17x = 148,602,922.41
  5. Step 5: Solve for x
    x = 148,602,922.41/13,834.17
  6. Step 6: Final answer
    x = 10,741.73

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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.