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Finding the Fourth Proportional to 30,441.84, 42,007.68 and 17,012.40

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Solution

The fourth proportional to 30,441.84, 42,007.68 and 17,012.40 is: 23,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.84 : 42,007.68 = 17,012.40 : x
  2. Step 2: Convert to fraction form
    30,441.84/42,007.68 = 17,012.40/x
  3. Step 3: Cross multiply
    30,441.84x = 42,007.68 × 17,012.40
  4. Step 4: Simplify right side
    30,441.84x = 714,651,455.23
  5. Step 5: Solve for x
    x = 714,651,455.23/30,441.84
  6. Step 6: Final answer
    x = 23,475.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.