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Finding the Fourth Proportional to 15,097.86, 22,647.06 and 5,237.46

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Solution

The fourth proportional to 15,097.86, 22,647.06 and 5,237.46 is: 7,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.86 : 22,647.06 = 5,237.46 : x
  2. Step 2: Convert to fraction form
    15,097.86/22,647.06 = 5,237.46/x
  3. Step 3: Cross multiply
    15,097.86x = 22,647.06 × 5,237.46
  4. Step 4: Simplify right side
    15,097.86x = 118,613,070.87
  5. Step 5: Solve for x
    x = 118,613,070.87/15,097.86
  6. Step 6: Final answer
    x = 7,856.28

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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.