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Finding the Fourth Proportional to 34,187.34, 51,303.94 and 12,000.78

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Solution

The fourth proportional to 34,187.34, 51,303.94 and 12,000.78 is: 18,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187.34 : 51,303.94 = 12,000.78 : x
  2. Step 2: Convert to fraction form
    34,187.34/51,303.94 = 12,000.78/x
  3. Step 3: Cross multiply
    34,187.34x = 51,303.94 × 12,000.78
  4. Step 4: Simplify right side
    34,187.34x = 615,687,297.07
  5. Step 5: Solve for x
    x = 615,687,297.07/34,187.34
  6. Step 6: Final answer
    x = 18,009.22

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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.