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Finding the Fourth Proportional to 12,805.38, 19,188.63 and 9,503.01

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Solution

The fourth proportional to 12,805.38, 19,188.63 and 9,503.01 is: 14,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.38 : 19,188.63 = 9,503.01 : x
  2. Step 2: Convert to fraction form
    12,805.38/19,188.63 = 9,503.01/x
  3. Step 3: Cross multiply
    12,805.38x = 19,188.63 × 9,503.01
  4. Step 4: Simplify right side
    12,805.38x = 182,349,742.78
  5. Step 5: Solve for x
    x = 182,349,742.78/12,805.38
  6. Step 6: Final answer
    x = 14,240.09

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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.