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Finding the Fourth Proportional to 16,047.59, 24,051.34 and 7,726.06

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Solution

The fourth proportional to 16,047.59, 24,051.34 and 7,726.06 is: 11,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.59 : 24,051.34 = 7,726.06 : x
  2. Step 2: Convert to fraction form
    16,047.59/24,051.34 = 7,726.06/x
  3. Step 3: Cross multiply
    16,047.59x = 24,051.34 × 7,726.06
  4. Step 4: Simplify right side
    16,047.59x = 185,822,095.92
  5. Step 5: Solve for x
    x = 185,822,095.92/16,047.59
  6. Step 6: Final answer
    x = 11,579.44

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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.