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Finding the Fourth Proportional to 12,971, 17,900.52 and 7,670.36

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Solution

The fourth proportional to 12,971, 17,900.52 and 7,670.36 is: 10,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971 : 17,900.52 = 7,670.36 : x
  2. Step 2: Convert to fraction form
    12,971/17,900.52 = 7,670.36/x
  3. Step 3: Cross multiply
    12,971x = 17,900.52 × 7,670.36
  4. Step 4: Simplify right side
    12,971x = 137,303,432.59
  5. Step 5: Solve for x
    x = 137,303,432.59/12,971
  6. Step 6: Final answer
    x = 10,585.42

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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.