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Finding the Fourth Proportional to 15,907.50, 23,862.08 and 4,813.90

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Solution

The fourth proportional to 15,907.50, 23,862.08 and 4,813.90 is: 7,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.50 : 23,862.08 = 4,813.90 : x
  2. Step 2: Convert to fraction form
    15,907.50/23,862.08 = 4,813.90/x
  3. Step 3: Cross multiply
    15,907.50x = 23,862.08 × 4,813.90
  4. Step 4: Simplify right side
    15,907.50x = 114,869,666.91
  5. Step 5: Solve for x
    x = 114,869,666.91/15,907.50
  6. Step 6: Final answer
    x = 7,221.10

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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.