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Finding the Fourth Proportional to 15,643.52, 23,465.28 and 6,403.20

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Solution

The fourth proportional to 15,643.52, 23,465.28 and 6,403.20 is: 9,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.52 : 23,465.28 = 6,403.20 : x
  2. Step 2: Convert to fraction form
    15,643.52/23,465.28 = 6,403.20/x
  3. Step 3: Cross multiply
    15,643.52x = 23,465.28 × 6,403.20
  4. Step 4: Simplify right side
    15,643.52x = 150,252,880.90
  5. Step 5: Solve for x
    x = 150,252,880.90/15,643.52
  6. Step 6: Final answer
    x = 9,604.80

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