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Finding the Fourth Proportional to 24,200.17, 36,302.07 and 6,669.84

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Solution

The fourth proportional to 24,200.17, 36,302.07 and 6,669.84 is: 10,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.17 : 36,302.07 = 6,669.84 : x
  2. Step 2: Convert to fraction form
    24,200.17/36,302.07 = 6,669.84/x
  3. Step 3: Cross multiply
    24,200.17x = 36,302.07 × 6,669.84
  4. Step 4: Simplify right side
    24,200.17x = 242,129,159.71
  5. Step 5: Solve for x
    x = 242,129,159.71/24,200.17
  6. Step 6: Final answer
    x = 10,005.27

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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.