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Finding the Fourth Proportional to 21,407.85, 32,108.94 and 9,718.38

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Solution

The fourth proportional to 21,407.85, 32,108.94 and 9,718.38 is: 14,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.85 : 32,108.94 = 9,718.38 : x
  2. Step 2: Convert to fraction form
    21,407.85/32,108.94 = 9,718.38/x
  3. Step 3: Cross multiply
    21,407.85x = 32,108.94 × 9,718.38
  4. Step 4: Simplify right side
    21,407.85x = 312,046,880.32
  5. Step 5: Solve for x
    x = 312,046,880.32/21,407.85
  6. Step 6: Final answer
    x = 14,576.28

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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.