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Finding the Fourth Proportional to 21,658.50, 32,500.71 and 9,346.50

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Solution

The fourth proportional to 21,658.50, 32,500.71 and 9,346.50 is: 14,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.50 : 32,500.71 = 9,346.50 : x
  2. Step 2: Convert to fraction form
    21,658.50/32,500.71 = 9,346.50/x
  3. Step 3: Cross multiply
    21,658.50x = 32,500.71 × 9,346.50
  4. Step 4: Simplify right side
    21,658.50x = 303,767,886.02
  5. Step 5: Solve for x
    x = 303,767,886.02/21,658.50
  6. Step 6: Final answer
    x = 14,025.34

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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.