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Finding the Fourth Proportional to 29,925.84, 41,297.38 and 16,313.88

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Solution

The fourth proportional to 29,925.84, 41,297.38 and 16,313.88 is: 22,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,925.84 : 41,297.38 = 16,313.88 : x
  2. Step 2: Convert to fraction form
    29,925.84/41,297.38 = 16,313.88/x
  3. Step 3: Cross multiply
    29,925.84x = 41,297.38 × 16,313.88
  4. Step 4: Simplify right side
    29,925.84x = 673,720,501.63
  5. Step 5: Solve for x
    x = 673,720,501.63/29,925.84
  6. Step 6: Final answer
    x = 22,513.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.