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Finding the Fourth Proportional to 15,757.07, 23,642.78 and 5,897.12

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Solution

The fourth proportional to 15,757.07, 23,642.78 and 5,897.12 is: 8,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.07 : 23,642.78 = 5,897.12 : x
  2. Step 2: Convert to fraction form
    15,757.07/23,642.78 = 5,897.12/x
  3. Step 3: Cross multiply
    15,757.07x = 23,642.78 × 5,897.12
  4. Step 4: Simplify right side
    15,757.07x = 139,424,196.27
  5. Step 5: Solve for x
    x = 139,424,196.27/15,757.07
  6. Step 6: Final answer
    x = 8,848.36

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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.