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Finding the Fourth Proportional to 14,102.88, 19,458.88 and 8,513.76

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Solution

The fourth proportional to 14,102.88, 19,458.88 and 8,513.76 is: 11,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.88 : 19,458.88 = 8,513.76 : x
  2. Step 2: Convert to fraction form
    14,102.88/19,458.88 = 8,513.76/x
  3. Step 3: Cross multiply
    14,102.88x = 19,458.88 × 8,513.76
  4. Step 4: Simplify right side
    14,102.88x = 165,668,234.19
  5. Step 5: Solve for x
    x = 165,668,234.19/14,102.88
  6. Step 6: Final answer
    x = 11,747.12

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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.