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Finding the Fourth Proportional to 14,644.64, 21,965.92 and 4,783.72

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Solution

The fourth proportional to 14,644.64, 21,965.92 and 4,783.72 is: 7,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.64 : 21,965.92 = 4,783.72 : x
  2. Step 2: Convert to fraction form
    14,644.64/21,965.92 = 4,783.72/x
  3. Step 3: Cross multiply
    14,644.64x = 21,965.92 × 4,783.72
  4. Step 4: Simplify right side
    14,644.64x = 105,078,810.82
  5. Step 5: Solve for x
    x = 105,078,810.82/14,644.64
  6. Step 6: Final answer
    x = 7,175.24

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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.