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Finding the Fourth Proportional to 17,735.91, 24,477.77 and 10,184.60

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Solution

The fourth proportional to 17,735.91, 24,477.77 and 10,184.60 is: 14,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.91 : 24,477.77 = 10,184.60 : x
  2. Step 2: Convert to fraction form
    17,735.91/24,477.77 = 10,184.60/x
  3. Step 3: Cross multiply
    17,735.91x = 24,477.77 × 10,184.60
  4. Step 4: Simplify right side
    17,735.91x = 249,296,296.34
  5. Step 5: Solve for x
    x = 249,296,296.34/17,735.91
  6. Step 6: Final answer
    x = 14,056.02

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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.