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Finding the Fourth Proportional to 13,870.41, 19,141.14 and 7,496.99

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Solution

The fourth proportional to 13,870.41, 19,141.14 and 7,496.99 is: 10,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.41 : 19,141.14 = 7,496.99 : x
  2. Step 2: Convert to fraction form
    13,870.41/19,141.14 = 7,496.99/x
  3. Step 3: Cross multiply
    13,870.41x = 19,141.14 × 7,496.99
  4. Step 4: Simplify right side
    13,870.41x = 143,500,935.17
  5. Step 5: Solve for x
    x = 143,500,935.17/13,870.41
  6. Step 6: Final answer
    x = 10,345.83

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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.