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Finding the Fourth Proportional to 13,705.20, 18,808.20 and 12,830.40

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Solution

The fourth proportional to 13,705.20, 18,808.20 and 12,830.40 is: 17,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 18,808.20 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    13,705.20/18,808.20 = 12,830.40/x
  3. Step 3: Cross multiply
    13,705.20x = 18,808.20 × 12,830.40
  4. Step 4: Simplify right side
    13,705.20x = 241,316,729.28
  5. Step 5: Solve for x
    x = 241,316,729.28/13,705.20
  6. Step 6: Final answer
    x = 17,607.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.