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Finding the Fourth Proportional to 16,381.84, 22,607.56 and 9,308.56

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Solution

The fourth proportional to 16,381.84, 22,607.56 and 9,308.56 is: 12,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.84 : 22,607.56 = 9,308.56 : x
  2. Step 2: Convert to fraction form
    16,381.84/22,607.56 = 9,308.56/x
  3. Step 3: Cross multiply
    16,381.84x = 22,607.56 × 9,308.56
  4. Step 4: Simplify right side
    16,381.84x = 210,443,828.71
  5. Step 5: Solve for x
    x = 210,443,828.71/16,381.84
  6. Step 6: Final answer
    x = 12,846.17

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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.