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Finding the Fourth Proportional to 14,881.98, 20,542.19 and 10,415.06

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Solution

The fourth proportional to 14,881.98, 20,542.19 and 10,415.06 is: 14,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.98 : 20,542.19 = 10,415.06 : x
  2. Step 2: Convert to fraction form
    14,881.98/20,542.19 = 10,415.06/x
  3. Step 3: Cross multiply
    14,881.98x = 20,542.19 × 10,415.06
  4. Step 4: Simplify right side
    14,881.98x = 213,948,141.38
  5. Step 5: Solve for x
    x = 213,948,141.38/14,881.98
  6. Step 6: Final answer
    x = 14,376.32

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1.5x scale

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.