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Finding the Fourth Proportional to 30,012.96, 41,417.79 and 16,584.15

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Solution

The fourth proportional to 30,012.96, 41,417.79 and 16,584.15 is: 22,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.96 : 41,417.79 = 16,584.15 : x
  2. Step 2: Convert to fraction form
    30,012.96/41,417.79 = 16,584.15/x
  3. Step 3: Cross multiply
    30,012.96x = 41,417.79 × 16,584.15
  4. Step 4: Simplify right side
    30,012.96x = 686,878,842.03
  5. Step 5: Solve for x
    x = 686,878,842.03/30,012.96
  6. Step 6: Final answer
    x = 22,886.07

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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.