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Finding the Fourth Proportional to 21,407.46, 32,116.68 and 8,256.30

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Solution

The fourth proportional to 21,407.46, 32,116.68 and 8,256.30 is: 12,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.46 : 32,116.68 = 8,256.30 : x
  2. Step 2: Convert to fraction form
    21,407.46/32,116.68 = 8,256.30/x
  3. Step 3: Cross multiply
    21,407.46x = 32,116.68 × 8,256.30
  4. Step 4: Simplify right side
    21,407.46x = 265,164,945.08
  5. Step 5: Solve for x
    x = 265,164,945.08/21,407.46
  6. Step 6: Final answer
    x = 12,386.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.