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Finding the Fourth Proportional to 15,237.84, 22,857.26 and 5,242.48

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Solution

The fourth proportional to 15,237.84, 22,857.26 and 5,242.48 is: 7,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237.84 : 22,857.26 = 5,242.48 : x
  2. Step 2: Convert to fraction form
    15,237.84/22,857.26 = 5,242.48/x
  3. Step 3: Cross multiply
    15,237.84x = 22,857.26 × 5,242.48
  4. Step 4: Simplify right side
    15,237.84x = 119,828,728.40
  5. Step 5: Solve for x
    x = 119,828,728.40/15,237.84
  6. Step 6: Final answer
    x = 7,863.89

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