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Finding the Fourth Proportional to 29,262.16, 43,854.36 and 16,786

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Solution

The fourth proportional to 29,262.16, 43,854.36 and 16,786 is: 25,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,262.16 : 43,854.36 = 16,786 : x
  2. Step 2: Convert to fraction form
    29,262.16/43,854.36 = 16,786/x
  3. Step 3: Cross multiply
    29,262.16x = 43,854.36 × 16,786
  4. Step 4: Simplify right side
    29,262.16x = 736,139,286.96
  5. Step 5: Solve for x
    x = 736,139,286.96/29,262.16
  6. Step 6: Final answer
    x = 25,156.70

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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.