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Finding the Fourth Proportional to 16,409.52, 22,642.29 and 9,334.62

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Solution

The fourth proportional to 16,409.52, 22,642.29 and 9,334.62 is: 12,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.52 : 22,642.29 = 9,334.62 : x
  2. Step 2: Convert to fraction form
    16,409.52/22,642.29 = 9,334.62/x
  3. Step 3: Cross multiply
    16,409.52x = 22,642.29 × 9,334.62
  4. Step 4: Simplify right side
    16,409.52x = 211,357,173.08
  5. Step 5: Solve for x
    x = 211,357,173.08/16,409.52
  6. Step 6: Final answer
    x = 12,880.16

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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.