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Finding the Fourth Proportional to 14,384.68, 21,577.08 and 8,546.20

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Solution

The fourth proportional to 14,384.68, 21,577.08 and 8,546.20 is: 12,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.68 : 21,577.08 = 8,546.20 : x
  2. Step 2: Convert to fraction form
    14,384.68/21,577.08 = 8,546.20/x
  3. Step 3: Cross multiply
    14,384.68x = 21,577.08 × 8,546.20
  4. Step 4: Simplify right side
    14,384.68x = 184,402,041.10
  5. Step 5: Solve for x
    x = 184,402,041.10/14,384.68
  6. Step 6: Final answer
    x = 12,819.34

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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.