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Finding the Fourth Proportional to 12,783.74, 19,176.48 and 4,019.30

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Solution

The fourth proportional to 12,783.74, 19,176.48 and 4,019.30 is: 6,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.74 : 19,176.48 = 4,019.30 : x
  2. Step 2: Convert to fraction form
    12,783.74/19,176.48 = 4,019.30/x
  3. Step 3: Cross multiply
    12,783.74x = 19,176.48 × 4,019.30
  4. Step 4: Simplify right side
    12,783.74x = 77,076,026.06
  5. Step 5: Solve for x
    x = 77,076,026.06/12,783.74
  6. Step 6: Final answer
    x = 6,029.22

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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.