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Finding the Fourth Proportional to 23,533.80, 35,309.94 and 10,377

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Solution

The fourth proportional to 23,533.80, 35,309.94 and 10,377 is: 15,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.80 : 35,309.94 = 10,377 : x
  2. Step 2: Convert to fraction form
    23,533.80/35,309.94 = 10,377/x
  3. Step 3: Cross multiply
    23,533.80x = 35,309.94 × 10,377
  4. Step 4: Simplify right side
    23,533.80x = 366,411,247.38
  5. Step 5: Solve for x
    x = 366,411,247.38/23,533.80
  6. Step 6: Final answer
    x = 15,569.57

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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.