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Finding the Fourth Proportional to 23,614.49, 35,421.81 and 9,574.76

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Solution

The fourth proportional to 23,614.49, 35,421.81 and 9,574.76 is: 14,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.49 : 35,421.81 = 9,574.76 : x
  2. Step 2: Convert to fraction form
    23,614.49/35,421.81 = 9,574.76/x
  3. Step 3: Cross multiply
    23,614.49x = 35,421.81 × 9,574.76
  4. Step 4: Simplify right side
    23,614.49x = 339,155,329.52
  5. Step 5: Solve for x
    x = 339,155,329.52/23,614.49
  6. Step 6: Final answer
    x = 14,362.17

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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.