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Finding the Fourth Proportional to 19,715.54, 29,574 and 6,388.22

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Solution

The fourth proportional to 19,715.54, 29,574 and 6,388.22 is: 9,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.54 : 29,574 = 6,388.22 : x
  2. Step 2: Convert to fraction form
    19,715.54/29,574 = 6,388.22/x
  3. Step 3: Cross multiply
    19,715.54x = 29,574 × 6,388.22
  4. Step 4: Simplify right side
    19,715.54x = 188,925,218.28
  5. Step 5: Solve for x
    x = 188,925,218.28/19,715.54
  6. Step 6: Final answer
    x = 9,582.55

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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.