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Finding the Fourth Proportional to 23,065.52, 31,797.24 and 16,430

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Solution

The fourth proportional to 23,065.52, 31,797.24 and 16,430 is: 22,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.52 : 31,797.24 = 16,430 : x
  2. Step 2: Convert to fraction form
    23,065.52/31,797.24 = 16,430/x
  3. Step 3: Cross multiply
    23,065.52x = 31,797.24 × 16,430
  4. Step 4: Simplify right side
    23,065.52x = 522,428,653.20
  5. Step 5: Solve for x
    x = 522,428,653.20/23,065.52
  6. Step 6: Final answer
    x = 22,649.77

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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.