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Finding the Fourth Proportional to 12,570.16, 18,845.52 and 8,410

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Solution

The fourth proportional to 12,570.16, 18,845.52 and 8,410 is: 12,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.16 : 18,845.52 = 8,410 : x
  2. Step 2: Convert to fraction form
    12,570.16/18,845.52 = 8,410/x
  3. Step 3: Cross multiply
    12,570.16x = 18,845.52 × 8,410
  4. Step 4: Simplify right side
    12,570.16x = 158,490,823.20
  5. Step 5: Solve for x
    x = 158,490,823.20/12,570.16
  6. Step 6: Final answer
    x = 12,608.50

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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.