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Finding the Fourth Proportional to 14,497.83, 20,008.29 and 8,831.22

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Solution

The fourth proportional to 14,497.83, 20,008.29 and 8,831.22 is: 12,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.83 : 20,008.29 = 8,831.22 : x
  2. Step 2: Convert to fraction form
    14,497.83/20,008.29 = 8,831.22/x
  3. Step 3: Cross multiply
    14,497.83x = 20,008.29 × 8,831.22
  4. Step 4: Simplify right side
    14,497.83x = 176,697,610.81
  5. Step 5: Solve for x
    x = 176,697,610.81/14,497.83
  6. Step 6: Final answer
    x = 12,187.87

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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.