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Finding the Fourth Proportional to 29,313.16, 40,448.92 and 16,565

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Solution

The fourth proportional to 29,313.16, 40,448.92 and 16,565 is: 22,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,313.16 : 40,448.92 = 16,565 : x
  2. Step 2: Convert to fraction form
    29,313.16/40,448.92 = 16,565/x
  3. Step 3: Cross multiply
    29,313.16x = 40,448.92 × 16,565
  4. Step 4: Simplify right side
    29,313.16x = 670,036,359.80
  5. Step 5: Solve for x
    x = 670,036,359.80/29,313.16
  6. Step 6: Final answer
    x = 22,857.87

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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.