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Finding the Fourth Proportional to 16,493.19, 22,762.94 and 10,207.59

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Solution

The fourth proportional to 16,493.19, 22,762.94 and 10,207.59 is: 14,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.19 : 22,762.94 = 10,207.59 : x
  2. Step 2: Convert to fraction form
    16,493.19/22,762.94 = 10,207.59/x
  3. Step 3: Cross multiply
    16,493.19x = 22,762.94 × 10,207.59
  4. Step 4: Simplify right side
    16,493.19x = 232,354,707.68
  5. Step 5: Solve for x
    x = 232,354,707.68/16,493.19
  6. Step 6: Final answer
    x = 14,087.92

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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.