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Finding the Fourth Proportional to 21,688.50, 29,935.60 and 12,262.53

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Solution

The fourth proportional to 21,688.50, 29,935.60 and 12,262.53 is: 16,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.50 : 29,935.60 = 12,262.53 : x
  2. Step 2: Convert to fraction form
    21,688.50/29,935.60 = 12,262.53/x
  3. Step 3: Cross multiply
    21,688.50x = 29,935.60 × 12,262.53
  4. Step 4: Simplify right side
    21,688.50x = 367,086,162.41
  5. Step 5: Solve for x
    x = 367,086,162.41/21,688.50
  6. Step 6: Final answer
    x = 16,925.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.