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Finding the Fourth Proportional to 30,441.90, 42,009.67 and 17,013.14

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Solution

The fourth proportional to 30,441.90, 42,009.67 and 17,013.14 is: 23,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.90 : 42,009.67 = 17,013.14 : x
  2. Step 2: Convert to fraction form
    30,441.90/42,009.67 = 17,013.14/x
  3. Step 3: Cross multiply
    30,441.90x = 42,009.67 × 17,013.14
  4. Step 4: Simplify right side
    30,441.90x = 714,716,397.06
  5. Step 5: Solve for x
    x = 714,716,397.06/30,441.90
  6. Step 6: Final answer
    x = 23,478.05

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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.