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Finding the Fourth Proportional to 17,677.81, 24,393.81 and 9,719.88

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Solution

The fourth proportional to 17,677.81, 24,393.81 and 9,719.88 is: 13,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.81 : 24,393.81 = 9,719.88 : x
  2. Step 2: Convert to fraction form
    17,677.81/24,393.81 = 9,719.88/x
  3. Step 3: Cross multiply
    17,677.81x = 24,393.81 × 9,719.88
  4. Step 4: Simplify right side
    17,677.81x = 237,104,905.94
  5. Step 5: Solve for x
    x = 237,104,905.94/17,677.81
  6. Step 6: Final answer
    x = 13,412.57

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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.