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Finding the Fourth Proportional to 14,643.16, 20,207.40 and 7,928.60

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Solution

The fourth proportional to 14,643.16, 20,207.40 and 7,928.60 is: 10,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.16 : 20,207.40 = 7,928.60 : x
  2. Step 2: Convert to fraction form
    14,643.16/20,207.40 = 7,928.60/x
  3. Step 3: Cross multiply
    14,643.16x = 20,207.40 × 7,928.60
  4. Step 4: Simplify right side
    14,643.16x = 160,216,391.64
  5. Step 5: Solve for x
    x = 160,216,391.64/14,643.16
  6. Step 6: Final answer
    x = 10,941.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.