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Finding the Fourth Proportional to 14,903.60, 22,358.76 and 5,042.24

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Solution

The fourth proportional to 14,903.60, 22,358.76 and 5,042.24 is: 7,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.60 : 22,358.76 = 5,042.24 : x
  2. Step 2: Convert to fraction form
    14,903.60/22,358.76 = 5,042.24/x
  3. Step 3: Cross multiply
    14,903.60x = 22,358.76 × 5,042.24
  4. Step 4: Simplify right side
    14,903.60x = 112,738,234.02
  5. Step 5: Solve for x
    x = 112,738,234.02/14,903.60
  6. Step 6: Final answer
    x = 7,564.50

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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.