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Finding the Fourth Proportional to 22,492.52, 31,039.50 and 12,421.64

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Solution

The fourth proportional to 22,492.52, 31,039.50 and 12,421.64 is: 17,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.52 : 31,039.50 = 12,421.64 : x
  2. Step 2: Convert to fraction form
    22,492.52/31,039.50 = 12,421.64/x
  3. Step 3: Cross multiply
    22,492.52x = 31,039.50 × 12,421.64
  4. Step 4: Simplify right side
    22,492.52x = 385,561,494.78
  5. Step 5: Solve for x
    x = 385,561,494.78/22,492.52
  6. Step 6: Final answer
    x = 17,141.77

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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.