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Finding the Fourth Proportional to 19,721.68, 29,582.70 and 6,574

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Solution

The fourth proportional to 19,721.68, 29,582.70 and 6,574 is: 9,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721.68 : 29,582.70 = 6,574 : x
  2. Step 2: Convert to fraction form
    19,721.68/29,582.70 = 6,574/x
  3. Step 3: Cross multiply
    19,721.68x = 29,582.70 × 6,574
  4. Step 4: Simplify right side
    19,721.68x = 194,476,669.80
  5. Step 5: Solve for x
    x = 194,476,669.80/19,721.68
  6. Step 6: Final answer
    x = 9,861.06

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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.