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Finding the Fourth Proportional to 17,673.68, 24,389.53 and 9,715.82

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Solution

The fourth proportional to 17,673.68, 24,389.53 and 9,715.82 is: 13,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.68 : 24,389.53 = 9,715.82 : x
  2. Step 2: Convert to fraction form
    17,673.68/24,389.53 = 9,715.82/x
  3. Step 3: Cross multiply
    17,673.68x = 24,389.53 × 9,715.82
  4. Step 4: Simplify right side
    17,673.68x = 236,964,283.36
  5. Step 5: Solve for x
    x = 236,964,283.36/17,673.68
  6. Step 6: Final answer
    x = 13,407.75

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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.