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Finding the Fourth Proportional to 12,570.41, 17,346.39 and 7,264.10

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Solution

The fourth proportional to 12,570.41, 17,346.39 and 7,264.10 is: 10,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.41 : 17,346.39 = 7,264.10 : x
  2. Step 2: Convert to fraction form
    12,570.41/17,346.39 = 7,264.10/x
  3. Step 3: Cross multiply
    12,570.41x = 17,346.39 × 7,264.10
  4. Step 4: Simplify right side
    12,570.41x = 126,005,824.87
  5. Step 5: Solve for x
    x = 126,005,824.87/12,570.41
  6. Step 6: Final answer
    x = 10,024.01

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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.