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Finding the Fourth Proportional to 21,627.64, 29,848.80 and 12,196

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Solution

The fourth proportional to 21,627.64, 29,848.80 and 12,196 is: 16,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,627.64 : 29,848.80 = 12,196 : x
  2. Step 2: Convert to fraction form
    21,627.64/29,848.80 = 12,196/x
  3. Step 3: Cross multiply
    21,627.64x = 29,848.80 × 12,196
  4. Step 4: Simplify right side
    21,627.64x = 364,035,964.80
  5. Step 5: Solve for x
    x = 364,035,964.80/21,627.64
  6. Step 6: Final answer
    x = 16,831.98

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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.