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Finding the Fourth Proportional to 16,566.32, 22,838.07 and 11,842.40

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Solution

The fourth proportional to 16,566.32, 22,838.07 and 11,842.40 is: 16,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.32 : 22,838.07 = 11,842.40 : x
  2. Step 2: Convert to fraction form
    16,566.32/22,838.07 = 11,842.40/x
  3. Step 3: Cross multiply
    16,566.32x = 22,838.07 × 11,842.40
  4. Step 4: Simplify right side
    16,566.32x = 270,457,560.17
  5. Step 5: Solve for x
    x = 270,457,560.17/16,566.32
  6. Step 6: Final answer
    x = 16,325.75

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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.