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Finding the Fourth Proportional to 16,070.61, 24,121.50 and 7,756.48

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Solution

The fourth proportional to 16,070.61, 24,121.50 and 7,756.48 is: 11,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.61 : 24,121.50 = 7,756.48 : x
  2. Step 2: Convert to fraction form
    16,070.61/24,121.50 = 7,756.48/x
  3. Step 3: Cross multiply
    16,070.61x = 24,121.50 × 7,756.48
  4. Step 4: Simplify right side
    16,070.61x = 187,097,932.32
  5. Step 5: Solve for x
    x = 187,097,932.32/16,070.61
  6. Step 6: Final answer
    x = 11,642.24

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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.