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Finding the Fourth Proportional to 30,214.41, 45,328.10 and 12,674.13

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Solution

The fourth proportional to 30,214.41, 45,328.10 and 12,674.13 is: 19,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.41 : 45,328.10 = 12,674.13 : x
  2. Step 2: Convert to fraction form
    30,214.41/45,328.10 = 12,674.13/x
  3. Step 3: Cross multiply
    30,214.41x = 45,328.10 × 12,674.13
  4. Step 4: Simplify right side
    30,214.41x = 574,494,232.05
  5. Step 5: Solve for x
    x = 574,494,232.05/30,214.41
  6. Step 6: Final answer
    x = 19,013.92

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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.