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Finding the Fourth Proportional to 10,492.80, 15,706.80 and 9,909.60

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Solution

The fourth proportional to 10,492.80, 15,706.80 and 9,909.60 is: 14,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.80 : 15,706.80 = 9,909.60 : x
  2. Step 2: Convert to fraction form
    10,492.80/15,706.80 = 9,909.60/x
  3. Step 3: Cross multiply
    10,492.80x = 15,706.80 × 9,909.60
  4. Step 4: Simplify right side
    10,492.80x = 155,648,105.28
  5. Step 5: Solve for x
    x = 155,648,105.28/10,492.80
  6. Step 6: Final answer
    x = 14,833.80

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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.