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Finding the Fourth Proportional to 21,952, 30,293.76 and 12,016

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Solution

The fourth proportional to 21,952, 30,293.76 and 12,016 is: 16,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952 : 30,293.76 = 12,016 : x
  2. Step 2: Convert to fraction form
    21,952/30,293.76 = 12,016/x
  3. Step 3: Cross multiply
    21,952x = 30,293.76 × 12,016
  4. Step 4: Simplify right side
    21,952x = 364,009,820.16
  5. Step 5: Solve for x
    x = 364,009,820.16/21,952
  6. Step 6: Final answer
    x = 16,582.08

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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.