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Finding the Fourth Proportional to 14,860, 22,300.24 and 5,132

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Solution

The fourth proportional to 14,860, 22,300.24 and 5,132 is: 7,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860 : 22,300.24 = 5,132 : x
  2. Step 2: Convert to fraction form
    14,860/22,300.24 = 5,132/x
  3. Step 3: Cross multiply
    14,860x = 22,300.24 × 5,132
  4. Step 4: Simplify right side
    14,860x = 114,444,831.68
  5. Step 5: Solve for x
    x = 114,444,831.68/14,860
  6. Step 6: Final answer
    x = 7,701.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.