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Finding the Fourth Proportional to 12,477.83, 17,180.11 and 10,585.49

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Solution

The fourth proportional to 12,477.83, 17,180.11 and 10,585.49 is: 14,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.83 : 17,180.11 = 10,585.49 : x
  2. Step 2: Convert to fraction form
    12,477.83/17,180.11 = 10,585.49/x
  3. Step 3: Cross multiply
    12,477.83x = 17,180.11 × 10,585.49
  4. Step 4: Simplify right side
    12,477.83x = 181,859,882.60
  5. Step 5: Solve for x
    x = 181,859,882.60/12,477.83
  6. Step 6: Final answer
    x = 14,574.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.