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Finding the Fourth Proportional to 12,555.68, 17,312.60 and 8,012.25

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Solution

The fourth proportional to 12,555.68, 17,312.60 and 8,012.25 is: 11,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555.68 : 17,312.60 = 8,012.25 : x
  2. Step 2: Convert to fraction form
    12,555.68/17,312.60 = 8,012.25/x
  3. Step 3: Cross multiply
    12,555.68x = 17,312.60 × 8,012.25
  4. Step 4: Simplify right side
    12,555.68x = 138,712,899.38
  5. Step 5: Solve for x
    x = 138,712,899.38/12,555.68
  6. Step 6: Final answer
    x = 11,047.82

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Why These Related Problems?

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