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Finding the Fourth Proportional to 13,797.36, 19,041.75 and 8,133.84

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Solution

The fourth proportional to 13,797.36, 19,041.75 and 8,133.84 is: 11,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.36 : 19,041.75 = 8,133.84 : x
  2. Step 2: Convert to fraction form
    13,797.36/19,041.75 = 8,133.84/x
  3. Step 3: Cross multiply
    13,797.36x = 19,041.75 × 8,133.84
  4. Step 4: Simplify right side
    13,797.36x = 154,882,547.82
  5. Step 5: Solve for x
    x = 154,882,547.82/13,797.36
  6. Step 6: Final answer
    x = 11,225.52

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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.