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Finding the Fourth Proportional to 12,303.34, 18,443.64 and 4,906

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Solution

The fourth proportional to 12,303.34, 18,443.64 and 4,906 is: 7,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.34 : 18,443.64 = 4,906 : x
  2. Step 2: Convert to fraction form
    12,303.34/18,443.64 = 4,906/x
  3. Step 3: Cross multiply
    12,303.34x = 18,443.64 × 4,906
  4. Step 4: Simplify right side
    12,303.34x = 90,484,497.84
  5. Step 5: Solve for x
    x = 90,484,497.84/12,303.34
  6. Step 6: Final answer
    x = 7,354.47

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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.