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Finding the Fourth Proportional to 24,477.90, 36,708.93 and 6,943.02

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Solution

The fourth proportional to 24,477.90, 36,708.93 and 6,943.02 is: 10,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.90 : 36,708.93 = 6,943.02 : x
  2. Step 2: Convert to fraction form
    24,477.90/36,708.93 = 6,943.02/x
  3. Step 3: Cross multiply
    24,477.90x = 36,708.93 × 6,943.02
  4. Step 4: Simplify right side
    24,477.90x = 254,870,835.17
  5. Step 5: Solve for x
    x = 254,870,835.17/24,477.90
  6. Step 6: Final answer
    x = 10,412.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.