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Finding the Fourth Proportional to 30,412.86, 41,970.38 and 16,984.13

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Solution

The fourth proportional to 30,412.86, 41,970.38 and 16,984.13 is: 23,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.86 : 41,970.38 = 16,984.13 : x
  2. Step 2: Convert to fraction form
    30,412.86/41,970.38 = 16,984.13/x
  3. Step 3: Cross multiply
    30,412.86x = 41,970.38 × 16,984.13
  4. Step 4: Simplify right side
    30,412.86x = 712,830,095.30
  5. Step 5: Solve for x
    x = 712,830,095.30/30,412.86
  6. Step 6: Final answer
    x = 23,438.44

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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.