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Finding the Fourth Proportional to 13,818.14, 19,069.06 and 7,530.52

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Solution

The fourth proportional to 13,818.14, 19,069.06 and 7,530.52 is: 10,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.14 : 19,069.06 = 7,530.52 : x
  2. Step 2: Convert to fraction form
    13,818.14/19,069.06 = 7,530.52/x
  3. Step 3: Cross multiply
    13,818.14x = 19,069.06 × 7,530.52
  4. Step 4: Simplify right side
    13,818.14x = 143,599,937.71
  5. Step 5: Solve for x
    x = 143,599,937.71/13,818.14
  6. Step 6: Final answer
    x = 10,392.13

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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.