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Finding the Fourth Proportional to 14,259.12, 21,467.94 and 12,354

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Solution

The fourth proportional to 14,259.12, 21,467.94 and 12,354 is: 18,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.12 : 21,467.94 = 12,354 : x
  2. Step 2: Convert to fraction form
    14,259.12/21,467.94 = 12,354/x
  3. Step 3: Cross multiply
    14,259.12x = 21,467.94 × 12,354
  4. Step 4: Simplify right side
    14,259.12x = 265,214,930.76
  5. Step 5: Solve for x
    x = 265,214,930.76/14,259.12
  6. Step 6: Final answer
    x = 18,599.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.