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Finding the Fourth Proportional to 13,643.60, 20,446.68 and 7,056.40

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Solution

The fourth proportional to 13,643.60, 20,446.68 and 7,056.40 is: 10,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.60 : 20,446.68 = 7,056.40 : x
  2. Step 2: Convert to fraction form
    13,643.60/20,446.68 = 7,056.40/x
  3. Step 3: Cross multiply
    13,643.60x = 20,446.68 × 7,056.40
  4. Step 4: Simplify right side
    13,643.60x = 144,279,952.75
  5. Step 5: Solve for x
    x = 144,279,952.75/13,643.60
  6. Step 6: Final answer
    x = 10,574.92

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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.