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Finding the Fourth Proportional to 15,566.50, 23,352.28 and 5,039.17

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Solution

The fourth proportional to 15,566.50, 23,352.28 and 5,039.17 is: 7,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566.50 : 23,352.28 = 5,039.17 : x
  2. Step 2: Convert to fraction form
    15,566.50/23,352.28 = 5,039.17/x
  3. Step 3: Cross multiply
    15,566.50x = 23,352.28 × 5,039.17
  4. Step 4: Simplify right side
    15,566.50x = 117,676,108.81
  5. Step 5: Solve for x
    x = 117,676,108.81/15,566.50
  6. Step 6: Final answer
    x = 7,559.57

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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.