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Finding the Fourth Proportional to 21,136.65, 31,708.07 and 6,346.74

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Solution

The fourth proportional to 21,136.65, 31,708.07 and 6,346.74 is: 9,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.65 : 31,708.07 = 6,346.74 : x
  2. Step 2: Convert to fraction form
    21,136.65/31,708.07 = 6,346.74/x
  3. Step 3: Cross multiply
    21,136.65x = 31,708.07 × 6,346.74
  4. Step 4: Simplify right side
    21,136.65x = 201,242,808.81
  5. Step 5: Solve for x
    x = 201,242,808.81/21,136.65
  6. Step 6: Final answer
    x = 9,521.04

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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.