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Finding the Fourth Proportional to 35,909.32, 53,839.68 and 12,523

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Solution

The fourth proportional to 35,909.32, 53,839.68 and 12,523 is: 18,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909.32 : 53,839.68 = 12,523 : x
  2. Step 2: Convert to fraction form
    35,909.32/53,839.68 = 12,523/x
  3. Step 3: Cross multiply
    35,909.32x = 53,839.68 × 12,523
  4. Step 4: Simplify right side
    35,909.32x = 674,234,312.64
  5. Step 5: Solve for x
    x = 674,234,312.64/35,909.32
  6. Step 6: Final answer
    x = 18,776.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.