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Finding the Fourth Proportional to 18,025.81, 24,870.13 and 10,470.66

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Solution

The fourth proportional to 18,025.81, 24,870.13 and 10,470.66 is: 14,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,025.81 : 24,870.13 = 10,470.66 : x
  2. Step 2: Convert to fraction form
    18,025.81/24,870.13 = 10,470.66/x
  3. Step 3: Cross multiply
    18,025.81x = 24,870.13 × 10,470.66
  4. Step 4: Simplify right side
    18,025.81x = 260,406,675.39
  5. Step 5: Solve for x
    x = 260,406,675.39/18,025.81
  6. Step 6: Final answer
    x = 14,446.32

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Why These Related Problems?

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