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Finding the Fourth Proportional to 13,762.49, 20,643.73 and 11,320.61

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Solution

The fourth proportional to 13,762.49, 20,643.73 and 11,320.61 is: 16,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.49 : 20,643.73 = 11,320.61 : x
  2. Step 2: Convert to fraction form
    13,762.49/20,643.73 = 11,320.61/x
  3. Step 3: Cross multiply
    13,762.49x = 20,643.73 × 11,320.61
  4. Step 4: Simplify right side
    13,762.49x = 233,699,484.76
  5. Step 5: Solve for x
    x = 233,699,484.76/13,762.49
  6. Step 6: Final answer
    x = 16,980.91

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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.