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Finding the Fourth Proportional to 12,663.46, 17,482.64 and 8,420.34

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Solution

The fourth proportional to 12,663.46, 17,482.64 and 8,420.34 is: 11,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.46 : 17,482.64 = 8,420.34 : x
  2. Step 2: Convert to fraction form
    12,663.46/17,482.64 = 8,420.34/x
  3. Step 3: Cross multiply
    12,663.46x = 17,482.64 × 8,420.34
  4. Step 4: Simplify right side
    12,663.46x = 147,209,685.48
  5. Step 5: Solve for x
    x = 147,209,685.48/12,663.46
  6. Step 6: Final answer
    x = 11,624.76

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