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Finding the Fourth Proportional to 15,010.48, 22,509.24 and 5,770

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Solution

The fourth proportional to 15,010.48, 22,509.24 and 5,770 is: 8,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,010.48 : 22,509.24 = 5,770 : x
  2. Step 2: Convert to fraction form
    15,010.48/22,509.24 = 5,770/x
  3. Step 3: Cross multiply
    15,010.48x = 22,509.24 × 5,770
  4. Step 4: Simplify right side
    15,010.48x = 129,878,314.80
  5. Step 5: Solve for x
    x = 129,878,314.80/15,010.48
  6. Step 6: Final answer
    x = 8,652.51

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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.