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Finding the Fourth Proportional to 15,537.50, 23,302.98 and 5,008.48

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Solution

The fourth proportional to 15,537.50, 23,302.98 and 5,008.48 is: 7,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.50 : 23,302.98 = 5,008.48 : x
  2. Step 2: Convert to fraction form
    15,537.50/23,302.98 = 5,008.48/x
  3. Step 3: Cross multiply
    15,537.50x = 23,302.98 × 5,008.48
  4. Step 4: Simplify right side
    15,537.50x = 116,712,509.27
  5. Step 5: Solve for x
    x = 116,712,509.27/15,537.50
  6. Step 6: Final answer
    x = 7,511.67

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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.