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Finding the Fourth Proportional to 20,275.19, 30,414.41 and 7,130.51

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Solution

The fourth proportional to 20,275.19, 30,414.41 and 7,130.51 is: 10,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.19 : 30,414.41 = 7,130.51 : x
  2. Step 2: Convert to fraction form
    20,275.19/30,414.41 = 7,130.51/x
  3. Step 3: Cross multiply
    20,275.19x = 30,414.41 × 7,130.51
  4. Step 4: Simplify right side
    20,275.19x = 216,870,254.65
  5. Step 5: Solve for x
    x = 216,870,254.65/20,275.19
  6. Step 6: Final answer
    x = 10,696.34

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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.