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Finding the Fourth Proportional to 30,538.92, 45,815.76 and 15,509.10

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Solution

The fourth proportional to 30,538.92, 45,815.76 and 15,509.10 is: 23,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.92 : 45,815.76 = 15,509.10 : x
  2. Step 2: Convert to fraction form
    30,538.92/45,815.76 = 15,509.10/x
  3. Step 3: Cross multiply
    30,538.92x = 45,815.76 × 15,509.10
  4. Step 4: Simplify right side
    30,538.92x = 710,561,375.23
  5. Step 5: Solve for x
    x = 710,561,375.23/30,538.92
  6. Step 6: Final answer
    x = 23,267.40

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