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Finding the Fourth Proportional to 23,136, 31,925.23 and 13,063.83

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Solution

The fourth proportional to 23,136, 31,925.23 and 13,063.83 is: 18,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 31,925.23 = 13,063.83 : x
  2. Step 2: Convert to fraction form
    23,136/31,925.23 = 13,063.83/x
  3. Step 3: Cross multiply
    23,136x = 31,925.23 × 13,063.83
  4. Step 4: Simplify right side
    23,136x = 417,065,777.43
  5. Step 5: Solve for x
    x = 417,065,777.43/23,136
  6. Step 6: Final answer
    x = 18,026.70

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