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Finding the Fourth Proportional to 21,636.34, 32,443.20 and 9,779.92

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Solution

The fourth proportional to 21,636.34, 32,443.20 and 9,779.92 is: 14,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636.34 : 32,443.20 = 9,779.92 : x
  2. Step 2: Convert to fraction form
    21,636.34/32,443.20 = 9,779.92/x
  3. Step 3: Cross multiply
    21,636.34x = 32,443.20 × 9,779.92
  4. Step 4: Simplify right side
    21,636.34x = 317,291,900.54
  5. Step 5: Solve for x
    x = 317,291,900.54/21,636.34
  6. Step 6: Final answer
    x = 14,664.77

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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.