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Finding the Fourth Proportional to 15,775.22, 21,767.57 and 9,804.71

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Solution

The fourth proportional to 15,775.22, 21,767.57 and 9,804.71 is: 13,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.22 : 21,767.57 = 9,804.71 : x
  2. Step 2: Convert to fraction form
    15,775.22/21,767.57 = 9,804.71/x
  3. Step 3: Cross multiply
    15,775.22x = 21,767.57 × 9,804.71
  4. Step 4: Simplify right side
    15,775.22x = 213,424,753.42
  5. Step 5: Solve for x
    x = 213,424,753.42/15,775.22
  6. Step 6: Final answer
    x = 13,529.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.