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Finding the Fourth Proportional to 22,762.57, 31,431.72 and 14,278.90

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Solution

The fourth proportional to 22,762.57, 31,431.72 and 14,278.90 is: 19,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.57 : 31,431.72 = 14,278.90 : x
  2. Step 2: Convert to fraction form
    22,762.57/31,431.72 = 14,278.90/x
  3. Step 3: Cross multiply
    22,762.57x = 31,431.72 × 14,278.90
  4. Step 4: Simplify right side
    22,762.57x = 448,810,386.71
  5. Step 5: Solve for x
    x = 448,810,386.71/22,762.57
  6. Step 6: Final answer
    x = 19,717.03

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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.