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Finding the Fourth Proportional to 15,632.64, 21,579.84 and 9,664.32

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Solution

The fourth proportional to 15,632.64, 21,579.84 and 9,664.32 is: 13,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.64 : 21,579.84 = 9,664.32 : x
  2. Step 2: Convert to fraction form
    15,632.64/21,579.84 = 9,664.32/x
  3. Step 3: Cross multiply
    15,632.64x = 21,579.84 × 9,664.32
  4. Step 4: Simplify right side
    15,632.64x = 208,554,479.31
  5. Step 5: Solve for x
    x = 208,554,479.31/15,632.64
  6. Step 6: Final answer
    x = 13,340.96

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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.