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Finding the Fourth Proportional to 17,825.34, 24,595.48 and 9,866.08

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Solution

The fourth proportional to 17,825.34, 24,595.48 and 9,866.08 is: 13,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.34 : 24,595.48 = 9,866.08 : x
  2. Step 2: Convert to fraction form
    17,825.34/24,595.48 = 9,866.08/x
  3. Step 3: Cross multiply
    17,825.34x = 24,595.48 × 9,866.08
  4. Step 4: Simplify right side
    17,825.34x = 242,660,973.32
  5. Step 5: Solve for x
    x = 242,660,973.32/17,825.34
  6. Step 6: Final answer
    x = 13,613.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.