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Finding the Fourth Proportional to 16,543.16, 24,816 and 6,155

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Solution

The fourth proportional to 16,543.16, 24,816 and 6,155 is: 9,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.16 : 24,816 = 6,155 : x
  2. Step 2: Convert to fraction form
    16,543.16/24,816 = 6,155/x
  3. Step 3: Cross multiply
    16,543.16x = 24,816 × 6,155
  4. Step 4: Simplify right side
    16,543.16x = 152,742,480
  5. Step 5: Solve for x
    x = 152,742,480/16,543.16
  6. Step 6: Final answer
    x = 9,232.97

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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.