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Finding the Fourth Proportional to 21,185.19, 31,757.11 and 10,088.89

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Solution

The fourth proportional to 21,185.19, 31,757.11 and 10,088.89 is: 15,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.19 : 31,757.11 = 10,088.89 : x
  2. Step 2: Convert to fraction form
    21,185.19/31,757.11 = 10,088.89/x
  3. Step 3: Cross multiply
    21,185.19x = 31,757.11 × 10,088.89
  4. Step 4: Simplify right side
    21,185.19x = 320,393,989.51
  5. Step 5: Solve for x
    x = 320,393,989.51/21,185.19
  6. Step 6: Final answer
    x = 15,123.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.