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Finding the Fourth Proportional to 16,555.64, 22,847.01 and 9,482.06

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Solution

The fourth proportional to 16,555.64, 22,847.01 and 9,482.06 is: 13,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.64 : 22,847.01 = 9,482.06 : x
  2. Step 2: Convert to fraction form
    16,555.64/22,847.01 = 9,482.06/x
  3. Step 3: Cross multiply
    16,555.64x = 22,847.01 × 9,482.06
  4. Step 4: Simplify right side
    16,555.64x = 216,636,794.54
  5. Step 5: Solve for x
    x = 216,636,794.54/16,555.64
  6. Step 6: Final answer
    x = 13,085.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.