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Finding the Fourth Proportional to 16,352.94, 22,566.84 and 9,638.84

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Solution

The fourth proportional to 16,352.94, 22,566.84 and 9,638.84 is: 13,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.94 : 22,566.84 = 9,638.84 : x
  2. Step 2: Convert to fraction form
    16,352.94/22,566.84 = 9,638.84/x
  3. Step 3: Cross multiply
    16,352.94x = 22,566.84 × 9,638.84
  4. Step 4: Simplify right side
    16,352.94x = 217,518,160.07
  5. Step 5: Solve for x
    x = 217,518,160.07/16,352.94
  6. Step 6: Final answer
    x = 13,301.47

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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.