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Finding the Fourth Proportional to 14,274.42, 21,412.10 and 4,914.34

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Solution

The fourth proportional to 14,274.42, 21,412.10 and 4,914.34 is: 7,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.42 : 21,412.10 = 4,914.34 : x
  2. Step 2: Convert to fraction form
    14,274.42/21,412.10 = 4,914.34/x
  3. Step 3: Cross multiply
    14,274.42x = 21,412.10 × 4,914.34
  4. Step 4: Simplify right side
    14,274.42x = 105,226,339.51
  5. Step 5: Solve for x
    x = 105,226,339.51/14,274.42
  6. Step 6: Final answer
    x = 7,371.67

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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.