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Finding the Fourth Proportional to 27,762.28, 41,607.66 and 10,211.32

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Solution

The fourth proportional to 27,762.28, 41,607.66 and 10,211.32 is: 15,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.28 : 41,607.66 = 10,211.32 : x
  2. Step 2: Convert to fraction form
    27,762.28/41,607.66 = 10,211.32/x
  3. Step 3: Cross multiply
    27,762.28x = 41,607.66 × 10,211.32
  4. Step 4: Simplify right side
    27,762.28x = 424,869,130.71
  5. Step 5: Solve for x
    x = 424,869,130.71/27,762.28
  6. Step 6: Final answer
    x = 15,303.83

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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.