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Finding the Fourth Proportional to 16,543.95, 22,827.03 and 9,831.81

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Solution

The fourth proportional to 16,543.95, 22,827.03 and 9,831.81 is: 13,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.95 : 22,827.03 = 9,831.81 : x
  2. Step 2: Convert to fraction form
    16,543.95/22,827.03 = 9,831.81/x
  3. Step 3: Cross multiply
    16,543.95x = 22,827.03 × 9,831.81
  4. Step 4: Simplify right side
    16,543.95x = 224,431,021.82
  5. Step 5: Solve for x
    x = 224,431,021.82/16,543.95
  6. Step 6: Final answer
    x = 13,565.75

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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.