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Finding the Fourth Proportional to 13,082.04, 19,624.02 and 4,317

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Solution

The fourth proportional to 13,082.04, 19,624.02 and 4,317 is: 6,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.04 : 19,624.02 = 4,317 : x
  2. Step 2: Convert to fraction form
    13,082.04/19,624.02 = 4,317/x
  3. Step 3: Cross multiply
    13,082.04x = 19,624.02 × 4,317
  4. Step 4: Simplify right side
    13,082.04x = 84,716,894.34
  5. Step 5: Solve for x
    x = 84,716,894.34/13,082.04
  6. Step 6: Final answer
    x = 6,475.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.