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Finding the Fourth Proportional to 13,838.53, 19,097.08 and 7,870.21

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Solution

The fourth proportional to 13,838.53, 19,097.08 and 7,870.21 is: 10,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.53 : 19,097.08 = 7,870.21 : x
  2. Step 2: Convert to fraction form
    13,838.53/19,097.08 = 7,870.21/x
  3. Step 3: Cross multiply
    13,838.53x = 19,097.08 × 7,870.21
  4. Step 4: Simplify right side
    13,838.53x = 150,298,029.99
  5. Step 5: Solve for x
    x = 150,298,029.99/13,838.53
  6. Step 6: Final answer
    x = 10,860.84

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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.