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Finding the Fourth Proportional to 15,632.91, 21,564.45 and 9,660.33

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Solution

The fourth proportional to 15,632.91, 21,564.45 and 9,660.33 is: 13,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.91 : 21,564.45 = 9,660.33 : x
  2. Step 2: Convert to fraction form
    15,632.91/21,564.45 = 9,660.33/x
  3. Step 3: Cross multiply
    15,632.91x = 21,564.45 × 9,660.33
  4. Step 4: Simplify right side
    15,632.91x = 208,319,703.27
  5. Step 5: Solve for x
    x = 208,319,703.27/15,632.91
  6. Step 6: Final answer
    x = 13,325.71

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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.