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Finding the Fourth Proportional to 12,604.32, 18,903.12 and 7,656.84

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Solution

The fourth proportional to 12,604.32, 18,903.12 and 7,656.84 is: 11,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.32 : 18,903.12 = 7,656.84 : x
  2. Step 2: Convert to fraction form
    12,604.32/18,903.12 = 7,656.84/x
  3. Step 3: Cross multiply
    12,604.32x = 18,903.12 × 7,656.84
  4. Step 4: Simplify right side
    12,604.32x = 144,738,165.34
  5. Step 5: Solve for x
    x = 144,738,165.34/12,604.32
  6. Step 6: Final answer
    x = 11,483.22

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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.