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Finding the Fourth Proportional to 15,634.65, 21,585.65 and 9,669.68

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Solution

The fourth proportional to 15,634.65, 21,585.65 and 9,669.68 is: 13,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.65 : 21,585.65 = 9,669.68 : x
  2. Step 2: Convert to fraction form
    15,634.65/21,585.65 = 9,669.68/x
  3. Step 3: Cross multiply
    15,634.65x = 21,585.65 × 9,669.68
  4. Step 4: Simplify right side
    15,634.65x = 208,726,171.82
  5. Step 5: Solve for x
    x = 208,726,171.82/15,634.65
  6. Step 6: Final answer
    x = 13,350.23

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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.