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Finding the Fourth Proportional to 21,776.96, 32,657.76 and 9,458.24

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Solution

The fourth proportional to 21,776.96, 32,657.76 and 9,458.24 is: 14,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.96 : 32,657.76 = 9,458.24 : x
  2. Step 2: Convert to fraction form
    21,776.96/32,657.76 = 9,458.24/x
  3. Step 3: Cross multiply
    21,776.96x = 32,657.76 × 9,458.24
  4. Step 4: Simplify right side
    21,776.96x = 308,884,931.94
  5. Step 5: Solve for x
    x = 308,884,931.94/21,776.96
  6. Step 6: Final answer
    x = 14,184.02

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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.