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Finding the Fourth Proportional to 14,496.64, 19,997.76 and 8,897.92

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Solution

The fourth proportional to 14,496.64, 19,997.76 and 8,897.92 is: 12,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.64 : 19,997.76 = 8,897.92 : x
  2. Step 2: Convert to fraction form
    14,496.64/19,997.76 = 8,897.92/x
  3. Step 3: Cross multiply
    14,496.64x = 19,997.76 × 8,897.92
  4. Step 4: Simplify right side
    14,496.64x = 177,938,468.66
  5. Step 5: Solve for x
    x = 177,938,468.66/14,496.64
  6. Step 6: Final answer
    x = 12,274.46

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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.