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Finding the Fourth Proportional to 17,762.50, 26,635.98 and 9,440.52

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Solution

The fourth proportional to 17,762.50, 26,635.98 and 9,440.52 is: 14,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.50 : 26,635.98 = 9,440.52 : x
  2. Step 2: Convert to fraction form
    17,762.50/26,635.98 = 9,440.52/x
  3. Step 3: Cross multiply
    17,762.50x = 26,635.98 × 9,440.52
  4. Step 4: Simplify right side
    17,762.50x = 251,457,501.91
  5. Step 5: Solve for x
    x = 251,457,501.91/17,762.50
  6. Step 6: Final answer
    x = 14,156.65

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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.