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Finding the Fourth Proportional to 22,492.81, 31,039.72 and 12,421

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Solution

The fourth proportional to 22,492.81, 31,039.72 and 12,421 is: 17,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.81 : 31,039.72 = 12,421 : x
  2. Step 2: Convert to fraction form
    22,492.81/31,039.72 = 12,421/x
  3. Step 3: Cross multiply
    22,492.81x = 31,039.72 × 12,421
  4. Step 4: Simplify right side
    22,492.81x = 385,544,362.12
  5. Step 5: Solve for x
    x = 385,544,362.12/22,492.81
  6. Step 6: Final answer
    x = 17,140.78

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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.