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Finding the Fourth Proportional to 17,828.23, 24,602.99 and 9,871.65

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Solution

The fourth proportional to 17,828.23, 24,602.99 and 9,871.65 is: 13,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.23 : 24,602.99 = 9,871.65 : x
  2. Step 2: Convert to fraction form
    17,828.23/24,602.99 = 9,871.65/x
  3. Step 3: Cross multiply
    17,828.23x = 24,602.99 × 9,871.65
  4. Step 4: Simplify right side
    17,828.23x = 242,872,043.21
  5. Step 5: Solve for x
    x = 242,872,043.21/17,828.23
  6. Step 6: Final answer
    x = 13,622.89

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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.