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Finding the Fourth Proportional to 21,576.61, 32,364.85 and 9,716.50

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Solution

The fourth proportional to 21,576.61, 32,364.85 and 9,716.50 is: 14,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576.61 : 32,364.85 = 9,716.50 : x
  2. Step 2: Convert to fraction form
    21,576.61/32,364.85 = 9,716.50/x
  3. Step 3: Cross multiply
    21,576.61x = 32,364.85 × 9,716.50
  4. Step 4: Simplify right side
    21,576.61x = 314,472,999.87
  5. Step 5: Solve for x
    x = 314,472,999.87/21,576.61
  6. Step 6: Final answer
    x = 14,574.72

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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.