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Finding the Fourth Proportional to 19,409.71, 29,114.73 and 10,639.84

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Solution

The fourth proportional to 19,409.71, 29,114.73 and 10,639.84 is: 15,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.71 : 29,114.73 = 10,639.84 : x
  2. Step 2: Convert to fraction form
    19,409.71/29,114.73 = 10,639.84/x
  3. Step 3: Cross multiply
    19,409.71x = 29,114.73 × 10,639.84
  4. Step 4: Simplify right side
    19,409.71x = 309,776,068.84
  5. Step 5: Solve for x
    x = 309,776,068.84/19,409.71
  6. Step 6: Final answer
    x = 15,959.85

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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.