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Finding the Fourth Proportional to 21,148.84, 29,185 and 12,196.72

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Solution

The fourth proportional to 21,148.84, 29,185 and 12,196.72 is: 16,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.84 : 29,185 = 12,196.72 : x
  2. Step 2: Convert to fraction form
    21,148.84/29,185 = 12,196.72/x
  3. Step 3: Cross multiply
    21,148.84x = 29,185 × 12,196.72
  4. Step 4: Simplify right side
    21,148.84x = 355,961,273.20
  5. Step 5: Solve for x
    x = 355,961,273.20/21,148.84
  6. Step 6: Final answer
    x = 16,831.24

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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.