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Finding the Fourth Proportional to 17,547.59, 24,216 and 9,590.33

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Solution

The fourth proportional to 17,547.59, 24,216 and 9,590.33 is: 13,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.59 : 24,216 = 9,590.33 : x
  2. Step 2: Convert to fraction form
    17,547.59/24,216 = 9,590.33/x
  3. Step 3: Cross multiply
    17,547.59x = 24,216 × 9,590.33
  4. Step 4: Simplify right side
    17,547.59x = 232,239,431.28
  5. Step 5: Solve for x
    x = 232,239,431.28/17,547.59
  6. Step 6: Final answer
    x = 13,234.83

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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.