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Finding the Fourth Proportional to 14,473.76, 19,970.69 and 8,503.25

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Solution

The fourth proportional to 14,473.76, 19,970.69 and 8,503.25 is: 11,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.76 : 19,970.69 = 8,503.25 : x
  2. Step 2: Convert to fraction form
    14,473.76/19,970.69 = 8,503.25/x
  3. Step 3: Cross multiply
    14,473.76x = 19,970.69 × 8,503.25
  4. Step 4: Simplify right side
    14,473.76x = 169,815,627.37
  5. Step 5: Solve for x
    x = 169,815,627.37/14,473.76
  6. Step 6: Final answer
    x = 11,732.66

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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.