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Finding the Fourth Proportional to 14,199, 19,600.64 and 8,892.68

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Solution

The fourth proportional to 14,199, 19,600.64 and 8,892.68 is: 12,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199 : 19,600.64 = 8,892.68 : x
  2. Step 2: Convert to fraction form
    14,199/19,600.64 = 8,892.68/x
  3. Step 3: Cross multiply
    14,199x = 19,600.64 × 8,892.68
  4. Step 4: Simplify right side
    14,199x = 174,302,219.32
  5. Step 5: Solve for x
    x = 174,302,219.32/14,199
  6. Step 6: Final answer
    x = 12,275.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.