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Finding the Fourth Proportional to 15,813.40, 23,727.79 and 7,483.50

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Solution

The fourth proportional to 15,813.40, 23,727.79 and 7,483.50 is: 11,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.40 : 23,727.79 = 7,483.50 : x
  2. Step 2: Convert to fraction form
    15,813.40/23,727.79 = 7,483.50/x
  3. Step 3: Cross multiply
    15,813.40x = 23,727.79 × 7,483.50
  4. Step 4: Simplify right side
    15,813.40x = 177,566,916.47
  5. Step 5: Solve for x
    x = 177,566,916.47/15,813.40
  6. Step 6: Final answer
    x = 11,228.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.