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Finding the Fourth Proportional to 30,574.60, 45,866.17 and 9,516.18

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Solution

The fourth proportional to 30,574.60, 45,866.17 and 9,516.18 is: 14,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.60 : 45,866.17 = 9,516.18 : x
  2. Step 2: Convert to fraction form
    30,574.60/45,866.17 = 9,516.18/x
  3. Step 3: Cross multiply
    30,574.60x = 45,866.17 × 9,516.18
  4. Step 4: Simplify right side
    30,574.60x = 436,470,940.29
  5. Step 5: Solve for x
    x = 436,470,940.29/30,574.60
  6. Step 6: Final answer
    x = 14,275.61

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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.