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Finding the Fourth Proportional to 14,082.48, 19,434.06 and 7,709.63

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Solution

The fourth proportional to 14,082.48, 19,434.06 and 7,709.63 is: 10,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.48 : 19,434.06 = 7,709.63 : x
  2. Step 2: Convert to fraction form
    14,082.48/19,434.06 = 7,709.63/x
  3. Step 3: Cross multiply
    14,082.48x = 19,434.06 × 7,709.63
  4. Step 4: Simplify right side
    14,082.48x = 149,829,314.83
  5. Step 5: Solve for x
    x = 149,829,314.83/14,082.48
  6. Step 6: Final answer
    x = 10,639.41

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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.