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Finding the Fourth Proportional to 13,470.58, 18,589.10 and 7,421

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Solution

The fourth proportional to 13,470.58, 18,589.10 and 7,421 is: 10,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.58 : 18,589.10 = 7,421 : x
  2. Step 2: Convert to fraction form
    13,470.58/18,589.10 = 7,421/x
  3. Step 3: Cross multiply
    13,470.58x = 18,589.10 × 7,421
  4. Step 4: Simplify right side
    13,470.58x = 137,949,711.10
  5. Step 5: Solve for x
    x = 137,949,711.10/13,470.58
  6. Step 6: Final answer
    x = 10,240.81

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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.