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Finding the Fourth Proportional to 23,643.16, 35,477.16 and 10,504.96

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Solution

The fourth proportional to 23,643.16, 35,477.16 and 10,504.96 is: 15,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.16 : 35,477.16 = 10,504.96 : x
  2. Step 2: Convert to fraction form
    23,643.16/35,477.16 = 10,504.96/x
  3. Step 3: Cross multiply
    23,643.16x = 35,477.16 × 10,504.96
  4. Step 4: Simplify right side
    23,643.16x = 372,686,146.71
  5. Step 5: Solve for x
    x = 372,686,146.71/23,643.16
  6. Step 6: Final answer
    x = 15,762.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.