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Finding the Fourth Proportional to 15,003.48, 22,457.94 and 10,295.96

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Solution

The fourth proportional to 15,003.48, 22,457.94 and 10,295.96 is: 15,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,003.48 : 22,457.94 = 10,295.96 : x
  2. Step 2: Convert to fraction form
    15,003.48/22,457.94 = 10,295.96/x
  3. Step 3: Cross multiply
    15,003.48x = 22,457.94 × 10,295.96
  4. Step 4: Simplify right side
    15,003.48x = 231,226,051.92
  5. Step 5: Solve for x
    x = 231,226,051.92/15,003.48
  6. Step 6: Final answer
    x = 15,411.49

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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.