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Finding the Fourth Proportional to 21,364.71, 29,478.80 and 12,407.60

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Solution

The fourth proportional to 21,364.71, 29,478.80 and 12,407.60 is: 17,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.71 : 29,478.80 = 12,407.60 : x
  2. Step 2: Convert to fraction form
    21,364.71/29,478.80 = 12,407.60/x
  3. Step 3: Cross multiply
    21,364.71x = 29,478.80 × 12,407.60
  4. Step 4: Simplify right side
    21,364.71x = 365,761,042.50
  5. Step 5: Solve for x
    x = 365,761,042.50/21,364.71
  6. Step 6: Final answer
    x = 17,119.87

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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.