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Finding the Fourth Proportional to 14,646.06, 20,218.14 and 9,347.94

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Solution

The fourth proportional to 14,646.06, 20,218.14 and 9,347.94 is: 12,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.06 : 20,218.14 = 9,347.94 : x
  2. Step 2: Convert to fraction form
    14,646.06/20,218.14 = 9,347.94/x
  3. Step 3: Cross multiply
    14,646.06x = 20,218.14 × 9,347.94
  4. Step 4: Simplify right side
    14,646.06x = 188,997,959.63
  5. Step 5: Solve for x
    x = 188,997,959.63/14,646.06
  6. Step 6: Final answer
    x = 12,904.36

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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.