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Finding the Fourth Proportional to 14,782.02, 20,402.60 and 9,747.12

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Solution

The fourth proportional to 14,782.02, 20,402.60 and 9,747.12 is: 13,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.02 : 20,402.60 = 9,747.12 : x
  2. Step 2: Convert to fraction form
    14,782.02/20,402.60 = 9,747.12/x
  3. Step 3: Cross multiply
    14,782.02x = 20,402.60 × 9,747.12
  4. Step 4: Simplify right side
    14,782.02x = 198,866,590.51
  5. Step 5: Solve for x
    x = 198,866,590.51/14,782.02
  6. Step 6: Final answer
    x = 13,453.28

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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.