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Finding the Fourth Proportional to 14,077.05, 19,426.16 and 7,703.61

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Solution

The fourth proportional to 14,077.05, 19,426.16 and 7,703.61 is: 10,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.05 : 19,426.16 = 7,703.61 : x
  2. Step 2: Convert to fraction form
    14,077.05/19,426.16 = 7,703.61/x
  3. Step 3: Cross multiply
    14,077.05x = 19,426.16 × 7,703.61
  4. Step 4: Simplify right side
    14,077.05x = 149,651,560.44
  5. Step 5: Solve for x
    x = 149,651,560.44/14,077.05
  6. Step 6: Final answer
    x = 10,630.89

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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.