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Finding the Fourth Proportional to 14,069.35, 19,412.89 and 7,780.51

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Solution

The fourth proportional to 14,069.35, 19,412.89 and 7,780.51 is: 10,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.35 : 19,412.89 = 7,780.51 : x
  2. Step 2: Convert to fraction form
    14,069.35/19,412.89 = 7,780.51/x
  3. Step 3: Cross multiply
    14,069.35x = 19,412.89 × 7,780.51
  4. Step 4: Simplify right side
    14,069.35x = 151,042,184.77
  5. Step 5: Solve for x
    x = 151,042,184.77/14,069.35
  6. Step 6: Final answer
    x = 10,735.55

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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.