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Finding the Fourth Proportional to 13,509.60, 20,264.40 and 9,281.40

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Solution

The fourth proportional to 13,509.60, 20,264.40 and 9,281.40 is: 13,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.60 : 20,264.40 = 9,281.40 : x
  2. Step 2: Convert to fraction form
    13,509.60/20,264.40 = 9,281.40/x
  3. Step 3: Cross multiply
    13,509.60x = 20,264.40 × 9,281.40
  4. Step 4: Simplify right side
    13,509.60x = 188,082,002.16
  5. Step 5: Solve for x
    x = 188,082,002.16/13,509.60
  6. Step 6: Final answer
    x = 13,922.10

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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.