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Finding the Fourth Proportional to 13,762.50, 20,640.51 and 4,399.98

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Solution

The fourth proportional to 13,762.50, 20,640.51 and 4,399.98 is: 6,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.50 : 20,640.51 = 4,399.98 : x
  2. Step 2: Convert to fraction form
    13,762.50/20,640.51 = 4,399.98/x
  3. Step 3: Cross multiply
    13,762.50x = 20,640.51 × 4,399.98
  4. Step 4: Simplify right side
    13,762.50x = 90,817,831.19
  5. Step 5: Solve for x
    x = 90,817,831.19/13,762.50
  6. Step 6: Final answer
    x = 6,598.93

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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.