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Finding the Fourth Proportional to 16,382.34, 22,607.64 and 9,308.74

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Solution

The fourth proportional to 16,382.34, 22,607.64 and 9,308.74 is: 12,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.34 : 22,607.64 = 9,308.74 : x
  2. Step 2: Convert to fraction form
    16,382.34/22,607.64 = 9,308.74/x
  3. Step 3: Cross multiply
    16,382.34x = 22,607.64 × 9,308.74
  4. Step 4: Simplify right side
    16,382.34x = 210,448,642.77
  5. Step 5: Solve for x
    x = 210,448,642.77/16,382.34
  6. Step 6: Final answer
    x = 12,846.07

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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.