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Finding the Fourth Proportional to 13,818.25, 19,069.19 and 7,530.63

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Solution

The fourth proportional to 13,818.25, 19,069.19 and 7,530.63 is: 10,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.25 : 19,069.19 = 7,530.63 : x
  2. Step 2: Convert to fraction form
    13,818.25/19,069.19 = 7,530.63/x
  3. Step 3: Cross multiply
    13,818.25x = 19,069.19 × 7,530.63
  4. Step 4: Simplify right side
    13,818.25x = 143,603,014.29
  5. Step 5: Solve for x
    x = 143,603,014.29/13,818.25
  6. Step 6: Final answer
    x = 10,392.27

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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.