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Finding the Fourth Proportional to 14,117.46, 19,480.05 and 9,082.14

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Solution

The fourth proportional to 14,117.46, 19,480.05 and 9,082.14 is: 12,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.46 : 19,480.05 = 9,082.14 : x
  2. Step 2: Convert to fraction form
    14,117.46/19,480.05 = 9,082.14/x
  3. Step 3: Cross multiply
    14,117.46x = 19,480.05 × 9,082.14
  4. Step 4: Simplify right side
    14,117.46x = 176,920,541.31
  5. Step 5: Solve for x
    x = 176,920,541.31/14,117.46
  6. Step 6: Final answer
    x = 12,532.04

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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.