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Finding the Fourth Proportional to 22,565.94, 31,140.58 and 12,494.16

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Solution

The fourth proportional to 22,565.94, 31,140.58 and 12,494.16 is: 17,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.94 : 31,140.58 = 12,494.16 : x
  2. Step 2: Convert to fraction form
    22,565.94/31,140.58 = 12,494.16/x
  3. Step 3: Cross multiply
    22,565.94x = 31,140.58 × 12,494.16
  4. Step 4: Simplify right side
    22,565.94x = 389,075,389.01
  5. Step 5: Solve for x
    x = 389,075,389.01/22,565.94
  6. Step 6: Final answer
    x = 17,241.71

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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.