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Finding the Fourth Proportional to 30,997.60, 46,492.80 and 8,814.40

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Solution

The fourth proportional to 30,997.60, 46,492.80 and 8,814.40 is: 13,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.60 : 46,492.80 = 8,814.40 : x
  2. Step 2: Convert to fraction form
    30,997.60/46,492.80 = 8,814.40/x
  3. Step 3: Cross multiply
    30,997.60x = 46,492.80 × 8,814.40
  4. Step 4: Simplify right side
    30,997.60x = 409,806,136.32
  5. Step 5: Solve for x
    x = 409,806,136.32/30,997.60
  6. Step 6: Final answer
    x = 13,220.58

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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.