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Finding the Fourth Proportional to 12,457.53, 17,182.85 and 7,417.87

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Solution

The fourth proportional to 12,457.53, 17,182.85 and 7,417.87 is: 10,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.53 : 17,182.85 = 7,417.87 : x
  2. Step 2: Convert to fraction form
    12,457.53/17,182.85 = 7,417.87/x
  3. Step 3: Cross multiply
    12,457.53x = 17,182.85 × 7,417.87
  4. Step 4: Simplify right side
    12,457.53x = 127,460,147.53
  5. Step 5: Solve for x
    x = 127,460,147.53/12,457.53
  6. Step 6: Final answer
    x = 10,231.57

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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.