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Finding the Fourth Proportional to 24,883.47, 34,339.19 and 13,705.47

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Solution

The fourth proportional to 24,883.47, 34,339.19 and 13,705.47 is: 18,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883.47 : 34,339.19 = 13,705.47 : x
  2. Step 2: Convert to fraction form
    24,883.47/34,339.19 = 13,705.47/x
  3. Step 3: Cross multiply
    24,883.47x = 34,339.19 × 13,705.47
  4. Step 4: Simplify right side
    24,883.47x = 470,634,738.37
  5. Step 5: Solve for x
    x = 470,634,738.37/24,883.47
  6. Step 6: Final answer
    x = 18,913.55

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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.