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Finding the Fourth Proportional to 20,895.84, 28,849.77 and 12,946.50

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Solution

The fourth proportional to 20,895.84, 28,849.77 and 12,946.50 is: 17,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895.84 : 28,849.77 = 12,946.50 : x
  2. Step 2: Convert to fraction form
    20,895.84/28,849.77 = 12,946.50/x
  3. Step 3: Cross multiply
    20,895.84x = 28,849.77 × 12,946.50
  4. Step 4: Simplify right side
    20,895.84x = 373,503,547.31
  5. Step 5: Solve for x
    x = 373,503,547.31/20,895.84
  6. Step 6: Final answer
    x = 17,874.54

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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.