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Finding the Fourth Proportional to 17,595.81, 24,282.22 and 9,638.16

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Solution

The fourth proportional to 17,595.81, 24,282.22 and 9,638.16 is: 13,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.81 : 24,282.22 = 9,638.16 : x
  2. Step 2: Convert to fraction form
    17,595.81/24,282.22 = 9,638.16/x
  3. Step 3: Cross multiply
    17,595.81x = 24,282.22 × 9,638.16
  4. Step 4: Simplify right side
    17,595.81x = 234,035,873.32
  5. Step 5: Solve for x
    x = 234,035,873.32/17,595.81
  6. Step 6: Final answer
    x = 13,300.66

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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.