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Finding the Fourth Proportional to 14,602.41, 21,894.03 and 7,211.70

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Solution

The fourth proportional to 14,602.41, 21,894.03 and 7,211.70 is: 10,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.41 : 21,894.03 = 7,211.70 : x
  2. Step 2: Convert to fraction form
    14,602.41/21,894.03 = 7,211.70/x
  3. Step 3: Cross multiply
    14,602.41x = 21,894.03 × 7,211.70
  4. Step 4: Simplify right side
    14,602.41x = 157,893,176.15
  5. Step 5: Solve for x
    x = 157,893,176.15/14,602.41
  6. Step 6: Final answer
    x = 10,812.82

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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.