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Finding the Fourth Proportional to 21,152, 31,721.60 and 6,359.68

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Solution

The fourth proportional to 21,152, 31,721.60 and 6,359.68 is: 9,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152 : 31,721.60 = 6,359.68 : x
  2. Step 2: Convert to fraction form
    21,152/31,721.60 = 6,359.68/x
  3. Step 3: Cross multiply
    21,152x = 31,721.60 × 6,359.68
  4. Step 4: Simplify right side
    21,152x = 201,739,225.09
  5. Step 5: Solve for x
    x = 201,739,225.09/21,152
  6. Step 6: Final answer
    x = 9,537.60

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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.