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Finding the Fourth Proportional to 15,801.30, 23,703.30 and 4,114.50

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Solution

The fourth proportional to 15,801.30, 23,703.30 and 4,114.50 is: 6,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.30 : 23,703.30 = 4,114.50 : x
  2. Step 2: Convert to fraction form
    15,801.30/23,703.30 = 4,114.50/x
  3. Step 3: Cross multiply
    15,801.30x = 23,703.30 × 4,114.50
  4. Step 4: Simplify right side
    15,801.30x = 97,527,227.85
  5. Step 5: Solve for x
    x = 97,527,227.85/15,801.30
  6. Step 6: Final answer
    x = 6,172.10

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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.