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Finding the Fourth Proportional to 17,852.85, 24,636.87 and 9,895.08

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Solution

The fourth proportional to 17,852.85, 24,636.87 and 9,895.08 is: 13,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.85 : 24,636.87 = 9,895.08 : x
  2. Step 2: Convert to fraction form
    17,852.85/24,636.87 = 9,895.08/x
  3. Step 3: Cross multiply
    17,852.85x = 24,636.87 × 9,895.08
  4. Step 4: Simplify right side
    17,852.85x = 243,783,799.60
  5. Step 5: Solve for x
    x = 243,783,799.60/17,852.85
  6. Step 6: Final answer
    x = 13,655.18

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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.