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Finding the Fourth Proportional to 12,567.16, 18,841.02 and 8,407

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Solution

The fourth proportional to 12,567.16, 18,841.02 and 8,407 is: 12,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.16 : 18,841.02 = 8,407 : x
  2. Step 2: Convert to fraction form
    12,567.16/18,841.02 = 8,407/x
  3. Step 3: Cross multiply
    12,567.16x = 18,841.02 × 8,407
  4. Step 4: Simplify right side
    12,567.16x = 158,396,455.14
  5. Step 5: Solve for x
    x = 158,396,455.14/12,567.16
  6. Step 6: Final answer
    x = 12,604.00

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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.