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Finding the Fourth Proportional to 22,993.95, 31,730.74 and 14,056.41

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Solution

The fourth proportional to 22,993.95, 31,730.74 and 14,056.41 is: 19,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.95 : 31,730.74 = 14,056.41 : x
  2. Step 2: Convert to fraction form
    22,993.95/31,730.74 = 14,056.41/x
  3. Step 3: Cross multiply
    22,993.95x = 31,730.74 × 14,056.41
  4. Step 4: Simplify right side
    22,993.95x = 446,020,291.04
  5. Step 5: Solve for x
    x = 446,020,291.04/22,993.95
  6. Step 6: Final answer
    x = 19,397.29

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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.