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Finding the Fourth Proportional to 13,541.40, 20,312.10 and 11,813.40

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Solution

The fourth proportional to 13,541.40, 20,312.10 and 11,813.40 is: 17,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.40 : 20,312.10 = 11,813.40 : x
  2. Step 2: Convert to fraction form
    13,541.40/20,312.10 = 11,813.40/x
  3. Step 3: Cross multiply
    13,541.40x = 20,312.10 × 11,813.40
  4. Step 4: Simplify right side
    13,541.40x = 239,954,962.14
  5. Step 5: Solve for x
    x = 239,954,962.14/13,541.40
  6. Step 6: Final answer
    x = 17,720.10

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1.5x scale

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.