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Finding the Fourth Proportional to 13,817.88, 19,069.16 and 7,530.64

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Solution

The fourth proportional to 13,817.88, 19,069.16 and 7,530.64 is: 10,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.88 : 19,069.16 = 7,530.64 : x
  2. Step 2: Convert to fraction form
    13,817.88/19,069.16 = 7,530.64/x
  3. Step 3: Cross multiply
    13,817.88x = 19,069.16 × 7,530.64
  4. Step 4: Simplify right side
    13,817.88x = 143,602,979.06
  5. Step 5: Solve for x
    x = 143,602,979.06/13,817.88
  6. Step 6: Final answer
    x = 10,392.55

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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.