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Finding the Fourth Proportional to 22,578.35, 31,156.89 and 12,506

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Solution

The fourth proportional to 22,578.35, 31,156.89 and 12,506 is: 17,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.35 : 31,156.89 = 12,506 : x
  2. Step 2: Convert to fraction form
    22,578.35/31,156.89 = 12,506/x
  3. Step 3: Cross multiply
    22,578.35x = 31,156.89 × 12,506
  4. Step 4: Simplify right side
    22,578.35x = 389,648,066.34
  5. Step 5: Solve for x
    x = 389,648,066.34/22,578.35
  6. Step 6: Final answer
    x = 17,257.60

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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.