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Finding the Fourth Proportional to 15,632.42, 21,573.42 and 9,659.48

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Solution

The fourth proportional to 15,632.42, 21,573.42 and 9,659.48 is: 13,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.42 : 21,573.42 = 9,659.48 : x
  2. Step 2: Convert to fraction form
    15,632.42/21,573.42 = 9,659.48/x
  3. Step 3: Cross multiply
    15,632.42x = 21,573.42 × 9,659.48
  4. Step 4: Simplify right side
    15,632.42x = 208,388,019.02
  5. Step 5: Solve for x
    x = 208,388,019.02/15,632.42
  6. Step 6: Final answer
    x = 13,330.50

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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.