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Finding the Fourth Proportional to 16,405.83, 22,641.75 and 10,036.67

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Solution

The fourth proportional to 16,405.83, 22,641.75 and 10,036.67 is: 13,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.83 : 22,641.75 = 10,036.67 : x
  2. Step 2: Convert to fraction form
    16,405.83/22,641.75 = 10,036.67/x
  3. Step 3: Cross multiply
    16,405.83x = 22,641.75 × 10,036.67
  4. Step 4: Simplify right side
    16,405.83x = 227,247,775.55
  5. Step 5: Solve for x
    x = 227,247,775.55/16,405.83
  6. Step 6: Final answer
    x = 13,851.64

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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.