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Finding the Fourth Proportional to 15,430.56, 23,149.08 and 5,041.50

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Solution

The fourth proportional to 15,430.56, 23,149.08 and 5,041.50 is: 7,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.56 : 23,149.08 = 5,041.50 : x
  2. Step 2: Convert to fraction form
    15,430.56/23,149.08 = 5,041.50/x
  3. Step 3: Cross multiply
    15,430.56x = 23,149.08 × 5,041.50
  4. Step 4: Simplify right side
    15,430.56x = 116,706,086.82
  5. Step 5: Solve for x
    x = 116,706,086.82/15,430.56
  6. Step 6: Final answer
    x = 7,563.31

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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.