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Finding the Fourth Proportional to 15,636.80, 21,582.59 and 9,664.88

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Solution

The fourth proportional to 15,636.80, 21,582.59 and 9,664.88 is: 13,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636.80 : 21,582.59 = 9,664.88 : x
  2. Step 2: Convert to fraction form
    15,636.80/21,582.59 = 9,664.88/x
  3. Step 3: Cross multiply
    15,636.80x = 21,582.59 × 9,664.88
  4. Step 4: Simplify right side
    15,636.80x = 208,592,986.20
  5. Step 5: Solve for x
    x = 208,592,986.20/15,636.80
  6. Step 6: Final answer
    x = 13,339.87

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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.