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Finding the Fourth Proportional to 23,107.30, 34,663.38 and 7,526.14

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Solution

The fourth proportional to 23,107.30, 34,663.38 and 7,526.14 is: 11,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.30 : 34,663.38 = 7,526.14 : x
  2. Step 2: Convert to fraction form
    23,107.30/34,663.38 = 7,526.14/x
  3. Step 3: Cross multiply
    23,107.30x = 34,663.38 × 7,526.14
  4. Step 4: Simplify right side
    23,107.30x = 260,881,239.81
  5. Step 5: Solve for x
    x = 260,881,239.81/23,107.30
  6. Step 6: Final answer
    x = 11,289.99

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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.