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Finding the Fourth Proportional to 10,909.90, 16,364.85 and 9,700.30

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Solution

The fourth proportional to 10,909.90, 16,364.85 and 9,700.30 is: 14,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.90 : 16,364.85 = 9,700.30 : x
  2. Step 2: Convert to fraction form
    10,909.90/16,364.85 = 9,700.30/x
  3. Step 3: Cross multiply
    10,909.90x = 16,364.85 × 9,700.30
  4. Step 4: Simplify right side
    10,909.90x = 158,743,954.46
  5. Step 5: Solve for x
    x = 158,743,954.46/10,909.90
  6. Step 6: Final answer
    x = 14,550.45

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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.