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Finding the Fourth Proportional to 17,381.99, 23,987.01 and 9,829.81

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Solution

The fourth proportional to 17,381.99, 23,987.01 and 9,829.81 is: 13,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.99 : 23,987.01 = 9,829.81 : x
  2. Step 2: Convert to fraction form
    17,381.99/23,987.01 = 9,829.81/x
  3. Step 3: Cross multiply
    17,381.99x = 23,987.01 × 9,829.81
  4. Step 4: Simplify right side
    17,381.99x = 235,787,750.77
  5. Step 5: Solve for x
    x = 235,787,750.77/17,381.99
  6. Step 6: Final answer
    x = 13,565.06

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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.