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Finding the Fourth Proportional to 21,582.30, 32,364.94 and 10,485.70

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Solution

The fourth proportional to 21,582.30, 32,364.94 and 10,485.70 is: 15,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582.30 : 32,364.94 = 10,485.70 : x
  2. Step 2: Convert to fraction form
    21,582.30/32,364.94 = 10,485.70/x
  3. Step 3: Cross multiply
    21,582.30x = 32,364.94 × 10,485.70
  4. Step 4: Simplify right side
    21,582.30x = 339,369,051.36
  5. Step 5: Solve for x
    x = 339,369,051.36/21,582.30
  6. Step 6: Final answer
    x = 15,724.42

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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.