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Finding the Fourth Proportional to 13,145.70, 19,687.11 and 7,582.17

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Solution

The fourth proportional to 13,145.70, 19,687.11 and 7,582.17 is: 11,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.70 : 19,687.11 = 7,582.17 : x
  2. Step 2: Convert to fraction form
    13,145.70/19,687.11 = 7,582.17/x
  3. Step 3: Cross multiply
    13,145.70x = 19,687.11 × 7,582.17
  4. Step 4: Simplify right side
    13,145.70x = 149,271,088.66
  5. Step 5: Solve for x
    x = 149,271,088.66/13,145.70
  6. Step 6: Final answer
    x = 11,355.13

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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.