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Finding the Fourth Proportional to 17,762.12, 24,512.54 and 10,210.90

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Solution

The fourth proportional to 17,762.12, 24,512.54 and 10,210.90 is: 14,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.12 : 24,512.54 = 10,210.90 : x
  2. Step 2: Convert to fraction form
    17,762.12/24,512.54 = 10,210.90/x
  3. Step 3: Cross multiply
    17,762.12x = 24,512.54 × 10,210.90
  4. Step 4: Simplify right side
    17,762.12x = 250,295,094.69
  5. Step 5: Solve for x
    x = 250,295,094.69/17,762.12
  6. Step 6: Final answer
    x = 14,091.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.