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Finding the Fourth Proportional to 22,633.02, 31,223.07 and 14,129.64

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Solution

The fourth proportional to 22,633.02, 31,223.07 and 14,129.64 is: 19,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.02 : 31,223.07 = 14,129.64 : x
  2. Step 2: Convert to fraction form
    22,633.02/31,223.07 = 14,129.64/x
  3. Step 3: Cross multiply
    22,633.02x = 31,223.07 × 14,129.64
  4. Step 4: Simplify right side
    22,633.02x = 441,170,738.79
  5. Step 5: Solve for x
    x = 441,170,738.79/22,633.02
  6. Step 6: Final answer
    x = 19,492.35

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