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Finding the Fourth Proportional to 17,157.68, 23,678.68 and 9,987.76

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Solution

The fourth proportional to 17,157.68, 23,678.68 and 9,987.76 is: 13,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.68 : 23,678.68 = 9,987.76 : x
  2. Step 2: Convert to fraction form
    17,157.68/23,678.68 = 9,987.76/x
  3. Step 3: Cross multiply
    17,157.68x = 23,678.68 × 9,987.76
  4. Step 4: Simplify right side
    17,157.68x = 236,496,972.96
  5. Step 5: Solve for x
    x = 236,496,972.96/17,157.68
  6. Step 6: Final answer
    x = 13,783.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.