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Finding the Fourth Proportional to 30,468.08, 45,706.92 and 12,938

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Solution

The fourth proportional to 30,468.08, 45,706.92 and 12,938 is: 19,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.08 : 45,706.92 = 12,938 : x
  2. Step 2: Convert to fraction form
    30,468.08/45,706.92 = 12,938/x
  3. Step 3: Cross multiply
    30,468.08x = 45,706.92 × 12,938
  4. Step 4: Simplify right side
    30,468.08x = 591,356,130.96
  5. Step 5: Solve for x
    x = 591,356,130.96/30,468.08
  6. Step 6: Final answer
    x = 19,409.04

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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.