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Finding the Fourth Proportional to 22,578.84, 31,158.93 and 12,507.06

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Solution

The fourth proportional to 22,578.84, 31,158.93 and 12,507.06 is: 17,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.84 : 31,158.93 = 12,507.06 : x
  2. Step 2: Convert to fraction form
    22,578.84/31,158.93 = 12,507.06/x
  3. Step 3: Cross multiply
    22,578.84x = 31,158.93 × 12,507.06
  4. Step 4: Simplify right side
    22,578.84x = 389,706,607.05
  5. Step 5: Solve for x
    x = 389,706,607.05/22,578.84
  6. Step 6: Final answer
    x = 17,259.82

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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.