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Finding the Fourth Proportional to 14,577.20, 21,865.92 and 9,046.64

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Solution

The fourth proportional to 14,577.20, 21,865.92 and 9,046.64 is: 13,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.20 : 21,865.92 = 9,046.64 : x
  2. Step 2: Convert to fraction form
    14,577.20/21,865.92 = 9,046.64/x
  3. Step 3: Cross multiply
    14,577.20x = 21,865.92 × 9,046.64
  4. Step 4: Simplify right side
    14,577.20x = 197,813,106.51
  5. Step 5: Solve for x
    x = 197,813,106.51/14,577.20
  6. Step 6: Final answer
    x = 13,570.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.