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Finding the Fourth Proportional to 12,123.49, 16,730.25 and 6,818.30

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Solution

The fourth proportional to 12,123.49, 16,730.25 and 6,818.30 is: 9,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.49 : 16,730.25 = 6,818.30 : x
  2. Step 2: Convert to fraction form
    12,123.49/16,730.25 = 6,818.30/x
  3. Step 3: Cross multiply
    12,123.49x = 16,730.25 × 6,818.30
  4. Step 4: Simplify right side
    12,123.49x = 114,071,886.42
  5. Step 5: Solve for x
    x = 114,071,886.42/12,123.49
  6. Step 6: Final answer
    x = 9,409.17

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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.