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Finding the Fourth Proportional to 29,669.13, 40,943.40 and 16,421.13

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Solution

The fourth proportional to 29,669.13, 40,943.40 and 16,421.13 is: 22,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,669.13 : 40,943.40 = 16,421.13 : x
  2. Step 2: Convert to fraction form
    29,669.13/40,943.40 = 16,421.13/x
  3. Step 3: Cross multiply
    29,669.13x = 40,943.40 × 16,421.13
  4. Step 4: Simplify right side
    29,669.13x = 672,336,894.04
  5. Step 5: Solve for x
    x = 672,336,894.04/29,669.13
  6. Step 6: Final answer
    x = 22,661.16

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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.