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Finding the Fourth Proportional to 25,605.16, 38,407.75 and 12,446.21

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Solution

The fourth proportional to 25,605.16, 38,407.75 and 12,446.21 is: 18,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.16 : 38,407.75 = 12,446.21 : x
  2. Step 2: Convert to fraction form
    25,605.16/38,407.75 = 12,446.21/x
  3. Step 3: Cross multiply
    25,605.16x = 38,407.75 × 12,446.21
  4. Step 4: Simplify right side
    25,605.16x = 478,030,987.03
  5. Step 5: Solve for x
    x = 478,030,987.03/25,605.16
  6. Step 6: Final answer
    x = 18,669.32

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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.