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Finding the Fourth Proportional to 14,462.83, 21,697.43 and 8,225.77

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Solution

The fourth proportional to 14,462.83, 21,697.43 and 8,225.77 is: 12,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.83 : 21,697.43 = 8,225.77 : x
  2. Step 2: Convert to fraction form
    14,462.83/21,697.43 = 8,225.77/x
  3. Step 3: Cross multiply
    14,462.83x = 21,697.43 × 8,225.77
  4. Step 4: Simplify right side
    14,462.83x = 178,478,068.77
  5. Step 5: Solve for x
    x = 178,478,068.77/14,462.83
  6. Step 6: Final answer
    x = 12,340.47

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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.