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Finding the Fourth Proportional to 14,831.71, 20,462.02 and 9,156.59

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Solution

The fourth proportional to 14,831.71, 20,462.02 and 9,156.59 is: 12,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831.71 : 20,462.02 = 9,156.59 : x
  2. Step 2: Convert to fraction form
    14,831.71/20,462.02 = 9,156.59/x
  3. Step 3: Cross multiply
    14,831.71x = 20,462.02 × 9,156.59
  4. Step 4: Simplify right side
    14,831.71x = 187,362,394.34
  5. Step 5: Solve for x
    x = 187,362,394.34/14,831.71
  6. Step 6: Final answer
    x = 12,632.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.