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Finding the Fourth Proportional to 22,831.50, 31,527.50 and 14,348.32

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Solution

The fourth proportional to 22,831.50, 31,527.50 and 14,348.32 is: 19,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.50 : 31,527.50 = 14,348.32 : x
  2. Step 2: Convert to fraction form
    22,831.50/31,527.50 = 14,348.32/x
  3. Step 3: Cross multiply
    22,831.50x = 31,527.50 × 14,348.32
  4. Step 4: Simplify right side
    22,831.50x = 452,366,537.03
  5. Step 5: Solve for x
    x = 452,366,537.03/22,831.50
  6. Step 6: Final answer
    x = 19,813.27

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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.