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Finding the Fourth Proportional to 17,842.96, 26,780.64 and 9,530.08

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Solution

The fourth proportional to 17,842.96, 26,780.64 and 9,530.08 is: 14,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.96 : 26,780.64 = 9,530.08 : x
  2. Step 2: Convert to fraction form
    17,842.96/26,780.64 = 9,530.08/x
  3. Step 3: Cross multiply
    17,842.96x = 26,780.64 × 9,530.08
  4. Step 4: Simplify right side
    17,842.96x = 255,221,641.65
  5. Step 5: Solve for x
    x = 255,221,641.65/17,842.96
  6. Step 6: Final answer
    x = 14,303.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.