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Finding the Fourth Proportional to 22,520, 31,084.89 and 14,136.50

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Solution

The fourth proportional to 22,520, 31,084.89 and 14,136.50 is: 19,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520 : 31,084.89 = 14,136.50 : x
  2. Step 2: Convert to fraction form
    22,520/31,084.89 = 14,136.50/x
  3. Step 3: Cross multiply
    22,520x = 31,084.89 × 14,136.50
  4. Step 4: Simplify right side
    22,520x = 439,431,547.49
  5. Step 5: Solve for x
    x = 439,431,547.49/22,520
  6. Step 6: Final answer
    x = 19,512.95

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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.