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Finding the Fourth Proportional to 19,582.36, 29,384.32 and 8,489.14

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Solution

The fourth proportional to 19,582.36, 29,384.32 and 8,489.14 is: 12,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582.36 : 29,384.32 = 8,489.14 : x
  2. Step 2: Convert to fraction form
    19,582.36/29,384.32 = 8,489.14/x
  3. Step 3: Cross multiply
    19,582.36x = 29,384.32 × 8,489.14
  4. Step 4: Simplify right side
    19,582.36x = 249,447,606.28
  5. Step 5: Solve for x
    x = 249,447,606.28/19,582.36
  6. Step 6: Final answer
    x = 12,738.38

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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.