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Finding the Fourth Proportional to 10,172.21, 15,216.18 and 9,550.13

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Solution

The fourth proportional to 10,172.21, 15,216.18 and 9,550.13 is: 14,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.21 : 15,216.18 = 9,550.13 : x
  2. Step 2: Convert to fraction form
    10,172.21/15,216.18 = 9,550.13/x
  3. Step 3: Cross multiply
    10,172.21x = 15,216.18 × 9,550.13
  4. Step 4: Simplify right side
    10,172.21x = 145,316,421.02
  5. Step 5: Solve for x
    x = 145,316,421.02/10,172.21
  6. Step 6: Final answer
    x = 14,285.64

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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.