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Finding the Fourth Proportional to 24,971.12, 34,469.88 and 15,412.40

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Solution

The fourth proportional to 24,971.12, 34,469.88 and 15,412.40 is: 21,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.12 : 34,469.88 = 15,412.40 : x
  2. Step 2: Convert to fraction form
    24,971.12/34,469.88 = 15,412.40/x
  3. Step 3: Cross multiply
    24,971.12x = 34,469.88 × 15,412.40
  4. Step 4: Simplify right side
    24,971.12x = 531,263,578.51
  5. Step 5: Solve for x
    x = 531,263,578.51/24,971.12
  6. Step 6: Final answer
    x = 21,275.12

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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.