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Finding the Fourth Proportional to 21,588.18, 32,379.54 and 9,113.16

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Solution

The fourth proportional to 21,588.18, 32,379.54 and 9,113.16 is: 13,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588.18 : 32,379.54 = 9,113.16 : x
  2. Step 2: Convert to fraction form
    21,588.18/32,379.54 = 9,113.16/x
  3. Step 3: Cross multiply
    21,588.18x = 32,379.54 × 9,113.16
  4. Step 4: Simplify right side
    21,588.18x = 295,079,928.75
  5. Step 5: Solve for x
    x = 295,079,928.75/21,588.18
  6. Step 6: Final answer
    x = 13,668.59

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