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Finding the Fourth Proportional to 22,491.81, 31,038.35 and 12,420

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Solution

The fourth proportional to 22,491.81, 31,038.35 and 12,420 is: 17,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.81 : 31,038.35 = 12,420 : x
  2. Step 2: Convert to fraction form
    22,491.81/31,038.35 = 12,420/x
  3. Step 3: Cross multiply
    22,491.81x = 31,038.35 × 12,420
  4. Step 4: Simplify right side
    22,491.81x = 385,496,244.90
  5. Step 5: Solve for x
    x = 385,496,244.90/22,491.81
  6. Step 6: Final answer
    x = 17,139.41

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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.