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Finding the Fourth Proportional to 12,973.88, 17,899.80 and 7,670.48

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Solution

The fourth proportional to 12,973.88, 17,899.80 and 7,670.48 is: 10,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.88 : 17,899.80 = 7,670.48 : x
  2. Step 2: Convert to fraction form
    12,973.88/17,899.80 = 7,670.48/x
  3. Step 3: Cross multiply
    12,973.88x = 17,899.80 × 7,670.48
  4. Step 4: Simplify right side
    12,973.88x = 137,300,057.90
  5. Step 5: Solve for x
    x = 137,300,057.90/12,973.88
  6. Step 6: Final answer
    x = 10,582.81

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