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Finding the Fourth Proportional to 12,572.84, 18,851.86 and 4,782.20

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Solution

The fourth proportional to 12,572.84, 18,851.86 and 4,782.20 is: 7,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.84 : 18,851.86 = 4,782.20 : x
  2. Step 2: Convert to fraction form
    12,572.84/18,851.86 = 4,782.20/x
  3. Step 3: Cross multiply
    12,572.84x = 18,851.86 × 4,782.20
  4. Step 4: Simplify right side
    12,572.84x = 90,153,364.89
  5. Step 5: Solve for x
    x = 90,153,364.89/12,572.84
  6. Step 6: Final answer
    x = 7,170.49

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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.