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Finding the Fourth Proportional to 13,082.60, 18,056.59 and 7,417.46

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Solution

The fourth proportional to 13,082.60, 18,056.59 and 7,417.46 is: 10,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.60 : 18,056.59 = 7,417.46 : x
  2. Step 2: Convert to fraction form
    13,082.60/18,056.59 = 7,417.46/x
  3. Step 3: Cross multiply
    13,082.60x = 18,056.59 × 7,417.46
  4. Step 4: Simplify right side
    13,082.60x = 133,934,060.66
  5. Step 5: Solve for x
    x = 133,934,060.66/13,082.60
  6. Step 6: Final answer
    x = 10,237.57

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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.