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Finding the Fourth Proportional to 22,071.62, 30,437.96 and 14,100

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Solution

The fourth proportional to 22,071.62, 30,437.96 and 14,100 is: 19,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.62 : 30,437.96 = 14,100 : x
  2. Step 2: Convert to fraction form
    22,071.62/30,437.96 = 14,100/x
  3. Step 3: Cross multiply
    22,071.62x = 30,437.96 × 14,100
  4. Step 4: Simplify right side
    22,071.62x = 429,175,165.50
  5. Step 5: Solve for x
    x = 429,175,165.50/22,071.62
  6. Step 6: Final answer
    x = 19,444.67

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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.