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Finding the Fourth Proportional to 15,591.50, 23,395.71 and 9,030.50

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Solution

The fourth proportional to 15,591.50, 23,395.71 and 9,030.50 is: 13,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.50 : 23,395.71 = 9,030.50 : x
  2. Step 2: Convert to fraction form
    15,591.50/23,395.71 = 9,030.50/x
  3. Step 3: Cross multiply
    15,591.50x = 23,395.71 × 9,030.50
  4. Step 4: Simplify right side
    15,591.50x = 211,274,959.16
  5. Step 5: Solve for x
    x = 211,274,959.16/15,591.50
  6. Step 6: Final answer
    x = 13,550.65

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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.