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Finding the Fourth Proportional to 15,484.81, 21,377.90 and 10,195

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Solution

The fourth proportional to 15,484.81, 21,377.90 and 10,195 is: 14,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,484.81 : 21,377.90 = 10,195 : x
  2. Step 2: Convert to fraction form
    15,484.81/21,377.90 = 10,195/x
  3. Step 3: Cross multiply
    15,484.81x = 21,377.90 × 10,195
  4. Step 4: Simplify right side
    15,484.81x = 217,947,690.50
  5. Step 5: Solve for x
    x = 217,947,690.50/15,484.81
  6. Step 6: Final answer
    x = 14,074.94

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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.