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Finding the Fourth Proportional to 24,203.14, 36,298.95 and 6,674.38

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Solution

The fourth proportional to 24,203.14, 36,298.95 and 6,674.38 is: 10,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.14 : 36,298.95 = 6,674.38 : x
  2. Step 2: Convert to fraction form
    24,203.14/36,298.95 = 6,674.38/x
  3. Step 3: Cross multiply
    24,203.14x = 36,298.95 × 6,674.38
  4. Step 4: Simplify right side
    24,203.14x = 242,272,985.90
  5. Step 5: Solve for x
    x = 242,272,985.90/24,203.14
  6. Step 6: Final answer
    x = 10,009.98

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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.