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Finding the Fourth Proportional to 12,723.16, 17,557.26 and 7,417.60

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Solution

The fourth proportional to 12,723.16, 17,557.26 and 7,417.60 is: 10,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.16 : 17,557.26 = 7,417.60 : x
  2. Step 2: Convert to fraction form
    12,723.16/17,557.26 = 7,417.60/x
  3. Step 3: Cross multiply
    12,723.16x = 17,557.26 × 7,417.60
  4. Step 4: Simplify right side
    12,723.16x = 130,232,731.78
  5. Step 5: Solve for x
    x = 130,232,731.78/12,723.16
  6. Step 6: Final answer
    x = 10,235.88

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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.