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Finding the Fourth Proportional to 15,509.86, 23,255.95 and 10,585.46

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Solution

The fourth proportional to 15,509.86, 23,255.95 and 10,585.46 is: 15,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.86 : 23,255.95 = 10,585.46 : x
  2. Step 2: Convert to fraction form
    15,509.86/23,255.95 = 10,585.46/x
  3. Step 3: Cross multiply
    15,509.86x = 23,255.95 × 10,585.46
  4. Step 4: Simplify right side
    15,509.86x = 246,174,928.49
  5. Step 5: Solve for x
    x = 246,174,928.49/15,509.86
  6. Step 6: Final answer
    x = 15,872.16

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