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Finding the Fourth Proportional to 22,491.95, 31,038.73 and 12,420.30

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Solution

The fourth proportional to 22,491.95, 31,038.73 and 12,420.30 is: 17,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.95 : 31,038.73 = 12,420.30 : x
  2. Step 2: Convert to fraction form
    22,491.95/31,038.73 = 12,420.30/x
  3. Step 3: Cross multiply
    22,491.95x = 31,038.73 × 12,420.30
  4. Step 4: Simplify right side
    22,491.95x = 385,510,423.56
  5. Step 5: Solve for x
    x = 385,510,423.56/22,491.95
  6. Step 6: Final answer
    x = 17,139.93

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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.