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Finding the Fourth Proportional to 16,043.85, 24,055.53 and 7,707.28

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Solution

The fourth proportional to 16,043.85, 24,055.53 and 7,707.28 is: 11,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.85 : 24,055.53 = 7,707.28 : x
  2. Step 2: Convert to fraction form
    16,043.85/24,055.53 = 7,707.28/x
  3. Step 3: Cross multiply
    16,043.85x = 24,055.53 × 7,707.28
  4. Step 4: Simplify right side
    16,043.85x = 185,402,706.43
  5. Step 5: Solve for x
    x = 185,402,706.43/16,043.85
  6. Step 6: Final answer
    x = 11,556.00

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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.