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Finding the Fourth Proportional to 13,705.20, 19,148.40 and 13,705.20

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Solution

The fourth proportional to 13,705.20, 19,148.40 and 13,705.20 is: 19,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 19,148.40 = 13,705.20 : x
  2. Step 2: Convert to fraction form
    13,705.20/19,148.40 = 13,705.20/x
  3. Step 3: Cross multiply
    13,705.20x = 19,148.40 × 13,705.20
  4. Step 4: Simplify right side
    13,705.20x = 262,432,651.68
  5. Step 5: Solve for x
    x = 262,432,651.68/13,705.20
  6. Step 6: Final answer
    x = 19,148.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.