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Finding the Fourth Proportional to 15,567.50, 23,353.78 and 5,040.17

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Solution

The fourth proportional to 15,567.50, 23,353.78 and 5,040.17 is: 7,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.50 : 23,353.78 = 5,040.17 : x
  2. Step 2: Convert to fraction form
    15,567.50/23,353.78 = 5,040.17/x
  3. Step 3: Cross multiply
    15,567.50x = 23,353.78 × 5,040.17
  4. Step 4: Simplify right side
    15,567.50x = 117,707,021.34
  5. Step 5: Solve for x
    x = 117,707,021.34/15,567.50
  6. Step 6: Final answer
    x = 7,561.07

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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.