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Finding the Fourth Proportional to 14,782.89, 20,403.78 and 9,748.02

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Solution

The fourth proportional to 14,782.89, 20,403.78 and 9,748.02 is: 13,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.89 : 20,403.78 = 9,748.02 : x
  2. Step 2: Convert to fraction form
    14,782.89/20,403.78 = 9,748.02/x
  3. Step 3: Cross multiply
    14,782.89x = 20,403.78 × 9,748.02
  4. Step 4: Simplify right side
    14,782.89x = 198,896,455.52
  5. Step 5: Solve for x
    x = 198,896,455.52/14,782.89
  6. Step 6: Final answer
    x = 13,454.50

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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.