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Finding the Fourth Proportional to 12,886.37, 19,330.74 and 4,001.75

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Solution

The fourth proportional to 12,886.37, 19,330.74 and 4,001.75 is: 6,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.37 : 19,330.74 = 4,001.75 : x
  2. Step 2: Convert to fraction form
    12,886.37/19,330.74 = 4,001.75/x
  3. Step 3: Cross multiply
    12,886.37x = 19,330.74 × 4,001.75
  4. Step 4: Simplify right side
    12,886.37x = 77,356,768.79
  5. Step 5: Solve for x
    x = 77,356,768.79/12,886.37
  6. Step 6: Final answer
    x = 6,002.99

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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.