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Finding the Fourth Proportional to 19,722.40, 29,583.82 and 6,574.76

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Solution

The fourth proportional to 19,722.40, 29,583.82 and 6,574.76 is: 9,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.40 : 29,583.82 = 6,574.76 : x
  2. Step 2: Convert to fraction form
    19,722.40/29,583.82 = 6,574.76/x
  3. Step 3: Cross multiply
    19,722.40x = 29,583.82 × 6,574.76
  4. Step 4: Simplify right side
    19,722.40x = 194,506,516.38
  5. Step 5: Solve for x
    x = 194,506,516.38/19,722.40
  6. Step 6: Final answer
    x = 9,862.21

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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.