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Finding the Fourth Proportional to 13,795.68, 19,037.73 and 7,827

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Solution

The fourth proportional to 13,795.68, 19,037.73 and 7,827 is: 10,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.68 : 19,037.73 = 7,827 : x
  2. Step 2: Convert to fraction form
    13,795.68/19,037.73 = 7,827/x
  3. Step 3: Cross multiply
    13,795.68x = 19,037.73 × 7,827
  4. Step 4: Simplify right side
    13,795.68x = 149,008,312.71
  5. Step 5: Solve for x
    x = 149,008,312.71/13,795.68
  6. Step 6: Final answer
    x = 10,801.09

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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.