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Finding the Fourth Proportional to 13,988.94, 19,307.33 and 8,020.65

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Solution

The fourth proportional to 13,988.94, 19,307.33 and 8,020.65 is: 11,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.94 : 19,307.33 = 8,020.65 : x
  2. Step 2: Convert to fraction form
    13,988.94/19,307.33 = 8,020.65/x
  3. Step 3: Cross multiply
    13,988.94x = 19,307.33 × 8,020.65
  4. Step 4: Simplify right side
    13,988.94x = 154,857,296.26
  5. Step 5: Solve for x
    x = 154,857,296.26/13,988.94
  6. Step 6: Final answer
    x = 11,069.98

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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.