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Finding the Fourth Proportional to 15,907.50, 23,856.66 and 4,811.58

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Solution

The fourth proportional to 15,907.50, 23,856.66 and 4,811.58 is: 7,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.50 : 23,856.66 = 4,811.58 : x
  2. Step 2: Convert to fraction form
    15,907.50/23,856.66 = 4,811.58/x
  3. Step 3: Cross multiply
    15,907.50x = 23,856.66 × 4,811.58
  4. Step 4: Simplify right side
    15,907.50x = 114,788,228.12
  5. Step 5: Solve for x
    x = 114,788,228.12/15,907.50
  6. Step 6: Final answer
    x = 7,215.98

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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.