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Finding the Fourth Proportional to 21,678.57, 32,501.93 and 9,665.60

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Solution

The fourth proportional to 21,678.57, 32,501.93 and 9,665.60 is: 14,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.57 : 32,501.93 = 9,665.60 : x
  2. Step 2: Convert to fraction form
    21,678.57/32,501.93 = 9,665.60/x
  3. Step 3: Cross multiply
    21,678.57x = 32,501.93 × 9,665.60
  4. Step 4: Simplify right side
    21,678.57x = 314,150,443.77
  5. Step 5: Solve for x
    x = 314,150,443.77/21,678.57
  6. Step 6: Final answer
    x = 14,491.29

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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.