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Finding the Fourth Proportional to 18,428.30, 25,431.05 and 10,470.53

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Solution

The fourth proportional to 18,428.30, 25,431.05 and 10,470.53 is: 14,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428.30 : 25,431.05 = 10,470.53 : x
  2. Step 2: Convert to fraction form
    18,428.30/25,431.05 = 10,470.53/x
  3. Step 3: Cross multiply
    18,428.30x = 25,431.05 × 10,470.53
  4. Step 4: Simplify right side
    18,428.30x = 266,276,392.45
  5. Step 5: Solve for x
    x = 266,276,392.45/18,428.30
  6. Step 6: Final answer
    x = 14,449.32

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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.