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Finding the Fourth Proportional to 14,384.68, 19,848.54 and 9,082.36

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Solution

The fourth proportional to 14,384.68, 19,848.54 and 9,082.36 is: 12,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.68 : 19,848.54 = 9,082.36 : x
  2. Step 2: Convert to fraction form
    14,384.68/19,848.54 = 9,082.36/x
  3. Step 3: Cross multiply
    14,384.68x = 19,848.54 × 9,082.36
  4. Step 4: Simplify right side
    14,384.68x = 180,271,585.75
  5. Step 5: Solve for x
    x = 180,271,585.75/14,384.68
  6. Step 6: Final answer
    x = 12,532.19

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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.