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Finding the Fourth Proportional to 14,069.30, 21,065.07 and 7,109.78

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Solution

The fourth proportional to 14,069.30, 21,065.07 and 7,109.78 is: 10,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.30 : 21,065.07 = 7,109.78 : x
  2. Step 2: Convert to fraction form
    14,069.30/21,065.07 = 7,109.78/x
  3. Step 3: Cross multiply
    14,069.30x = 21,065.07 × 7,109.78
  4. Step 4: Simplify right side
    14,069.30x = 149,768,013.38
  5. Step 5: Solve for x
    x = 149,768,013.38/14,069.30
  6. Step 6: Final answer
    x = 10,645.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.