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Finding the Fourth Proportional to 29,356.80, 44,035.20 and 9,638.40

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Solution

The fourth proportional to 29,356.80, 44,035.20 and 9,638.40 is: 14,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356.80 : 44,035.20 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    29,356.80/44,035.20 = 9,638.40/x
  3. Step 3: Cross multiply
    29,356.80x = 44,035.20 × 9,638.40
  4. Step 4: Simplify right side
    29,356.80x = 424,428,871.68
  5. Step 5: Solve for x
    x = 424,428,871.68/29,356.80
  6. Step 6: Final answer
    x = 14,457.60

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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.