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Finding the Fourth Proportional to 12,292.29, 18,406.53 and 10,313.10

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Solution

The fourth proportional to 12,292.29, 18,406.53 and 10,313.10 is: 15,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.29 : 18,406.53 = 10,313.10 : x
  2. Step 2: Convert to fraction form
    12,292.29/18,406.53 = 10,313.10/x
  3. Step 3: Cross multiply
    12,292.29x = 18,406.53 × 10,313.10
  4. Step 4: Simplify right side
    12,292.29x = 189,828,384.54
  5. Step 5: Solve for x
    x = 189,828,384.54/12,292.29
  6. Step 6: Final answer
    x = 15,442.88

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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.