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Finding the Fourth Proportional to 13,762.47, 20,653.43 and 5,442.77

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Solution

The fourth proportional to 13,762.47, 20,653.43 and 5,442.77 is: 8,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.47 : 20,653.43 = 5,442.77 : x
  2. Step 2: Convert to fraction form
    13,762.47/20,653.43 = 5,442.77/x
  3. Step 3: Cross multiply
    13,762.47x = 20,653.43 × 5,442.77
  4. Step 4: Simplify right side
    13,762.47x = 112,411,738.72
  5. Step 5: Solve for x
    x = 112,411,738.72/13,762.47
  6. Step 6: Final answer
    x = 8,167.99

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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.