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Finding the Fourth Proportional to 13,470.98, 18,592.16 and 10,278.23

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Solution

The fourth proportional to 13,470.98, 18,592.16 and 10,278.23 is: 14,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.98 : 18,592.16 = 10,278.23 : x
  2. Step 2: Convert to fraction form
    13,470.98/18,592.16 = 10,278.23/x
  3. Step 3: Cross multiply
    13,470.98x = 18,592.16 × 10,278.23
  4. Step 4: Simplify right side
    13,470.98x = 191,094,491.77
  5. Step 5: Solve for x
    x = 191,094,491.77/13,470.98
  6. Step 6: Final answer
    x = 14,185.64

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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.