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Finding the Fourth Proportional to 15,014.16, 22,527.69 and 8,430.48

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Solution

The fourth proportional to 15,014.16, 22,527.69 and 8,430.48 is: 12,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,014.16 : 22,527.69 = 8,430.48 : x
  2. Step 2: Convert to fraction form
    15,014.16/22,527.69 = 8,430.48/x
  3. Step 3: Cross multiply
    15,014.16x = 22,527.69 × 8,430.48
  4. Step 4: Simplify right side
    15,014.16x = 189,919,239.99
  5. Step 5: Solve for x
    x = 189,919,239.99/15,014.16
  6. Step 6: Final answer
    x = 12,649.34

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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.